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Finding the Third Proportional to 102,540 and 160,531

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Solution

The third proportional to 102,540 and 160,531 is: 251,318.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,540 : 160,531 = 160,531 : x
  2. Step 2: Convert to fraction form
    102,540/160,531 = 160,531/x
  3. Step 3: Cross multiply
    102,540x = 160,531 × 160,531
  4. Step 4: Simplify right side
    102,540x = 25,770,201,961
  5. Step 5: Solve for x
    x = 25,770,201,961/102,540
  6. Step 6: Final answer
    x = 251,318.53

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.