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Finding the Third Proportional to 64,542 and 136,918

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Solution

The third proportional to 64,542 and 136,918 is: 290,454.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,542 : 136,918 = 136,918 : x
  2. Step 2: Convert to fraction form
    64,542/136,918 = 136,918/x
  3. Step 3: Cross multiply
    64,542x = 136,918 × 136,918
  4. Step 4: Simplify right side
    64,542x = 18,746,538,724
  5. Step 5: Solve for x
    x = 18,746,538,724/64,542
  6. Step 6: Final answer
    x = 290,454.88

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.