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Finding the Third Proportional to 83,531 and 120,688

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Solution

The third proportional to 83,531 and 120,688 is: 174,373.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,531 : 120,688 = 120,688 : x
  2. Step 2: Convert to fraction form
    83,531/120,688 = 120,688/x
  3. Step 3: Cross multiply
    83,531x = 120,688 × 120,688
  4. Step 4: Simplify right side
    83,531x = 14,565,593,344
  5. Step 5: Solve for x
    x = 14,565,593,344/83,531
  6. Step 6: Final answer
    x = 174,373.51

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.