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Finding the Third Proportional to 60,714 and 90,448

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Solution

The third proportional to 60,714 and 90,448 is: 134,743.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,714 : 90,448 = 90,448 : x
  2. Step 2: Convert to fraction form
    60,714/90,448 = 90,448/x
  3. Step 3: Cross multiply
    60,714x = 90,448 × 90,448
  4. Step 4: Simplify right side
    60,714x = 8,180,840,704
  5. Step 5: Solve for x
    x = 8,180,840,704/60,714
  6. Step 6: Final answer
    x = 134,743.89

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.