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Finding the Third Proportional to 77,203 and 115,804.50

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Solution

The third proportional to 77,203 and 115,804.50 is: 173,706.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,203 : 115,804.50 = 115,804.50 : x
  2. Step 2: Convert to fraction form
    77,203/115,804.50 = 115,804.50/x
  3. Step 3: Cross multiply
    77,203x = 115,804.50 × 115,804.50
  4. Step 4: Simplify right side
    77,203x = 13,410,682,220.25
  5. Step 5: Solve for x
    x = 13,410,682,220.25/77,203
  6. Step 6: Final answer
    x = 173,706.75

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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.