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Finding the Third Proportional to 118,445 and 156,499

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Solution

The third proportional to 118,445 and 156,499 is: 206,778.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,445 : 156,499 = 156,499 : x
  2. Step 2: Convert to fraction form
    118,445/156,499 = 156,499/x
  3. Step 3: Cross multiply
    118,445x = 156,499 × 156,499
  4. Step 4: Simplify right side
    118,445x = 24,491,937,001
  5. Step 5: Solve for x
    x = 24,491,937,001/118,445
  6. Step 6: Final answer
    x = 206,778.99

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Why These Related Problems?

These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.