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Finding the Third Proportional to 83,672 and 130,448

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Solution

The third proportional to 83,672 and 130,448 is: 203,373.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,672 : 130,448 = 130,448 : x
  2. Step 2: Convert to fraction form
    83,672/130,448 = 130,448/x
  3. Step 3: Cross multiply
    83,672x = 130,448 × 130,448
  4. Step 4: Simplify right side
    83,672x = 17,016,680,704
  5. Step 5: Solve for x
    x = 17,016,680,704/83,672
  6. Step 6: Final answer
    x = 203,373.66

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.