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Finding the Third Proportional to 102,882 and 155,418

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Solution

The third proportional to 102,882 and 155,418 is: 234,781.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,882 : 155,418 = 155,418 : x
  2. Step 2: Convert to fraction form
    102,882/155,418 = 155,418/x
  3. Step 3: Cross multiply
    102,882x = 155,418 × 155,418
  4. Step 4: Simplify right side
    102,882x = 24,154,754,724
  5. Step 5: Solve for x
    x = 24,154,754,724/102,882
  6. Step 6: Final answer
    x = 234,781.15

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.