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Finding the Third Proportional to 64,698 and 135,552

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Solution

The third proportional to 64,698 and 135,552 is: 284,001.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,698 : 135,552 = 135,552 : x
  2. Step 2: Convert to fraction form
    64,698/135,552 = 135,552/x
  3. Step 3: Cross multiply
    64,698x = 135,552 × 135,552
  4. Step 4: Simplify right side
    64,698x = 18,374,344,704
  5. Step 5: Solve for x
    x = 18,374,344,704/64,698
  6. Step 6: Final answer
    x = 284,001.74

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.