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Finding the Third Proportional to 115,723.13 and 173,583

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Solution

The third proportional to 115,723.13 and 173,583 is: 260,371.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,723.13 : 173,583 = 173,583 : x
  2. Step 2: Convert to fraction form
    115,723.13/173,583 = 173,583/x
  3. Step 3: Cross multiply
    115,723.13x = 173,583 × 173,583
  4. Step 4: Simplify right side
    115,723.13x = 30,131,057,889
  5. Step 5: Solve for x
    x = 30,131,057,889/115,723.13
  6. Step 6: Final answer
    x = 260,371.97

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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.