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Finding the Third Proportional to 115,804.50 and 173,706.75

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Solution

The third proportional to 115,804.50 and 173,706.75 is: 260,560.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,804.50 : 173,706.75 = 173,706.75 : x
  2. Step 2: Convert to fraction form
    115,804.50/173,706.75 = 173,706.75/x
  3. Step 3: Cross multiply
    115,804.50x = 173,706.75 × 173,706.75
  4. Step 4: Simplify right side
    115,804.50x = 30,174,034,995.56
  5. Step 5: Solve for x
    x = 30,174,034,995.56/115,804.50
  6. Step 6: Final answer
    x = 260,560.13

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.