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Finding the Third Proportional to 102,909 and 155,459

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Solution

The third proportional to 102,909 and 155,459 is: 234,843.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,909 : 155,459 = 155,459 : x
  2. Step 2: Convert to fraction form
    102,909/155,459 = 155,459/x
  3. Step 3: Cross multiply
    102,909x = 155,459 × 155,459
  4. Step 4: Simplify right side
    102,909x = 24,167,500,681
  5. Step 5: Solve for x
    x = 24,167,500,681/102,909
  6. Step 6: Final answer
    x = 234,843.41

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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.