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Finding the Third Proportional to 64,514 and 97,743

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Solution

The third proportional to 64,514 and 97,743 is: 148,087.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,514 : 97,743 = 97,743 : x
  2. Step 2: Convert to fraction form
    64,514/97,743 = 97,743/x
  3. Step 3: Cross multiply
    64,514x = 97,743 × 97,743
  4. Step 4: Simplify right side
    64,514x = 9,553,694,049
  5. Step 5: Solve for x
    x = 9,553,694,049/64,514
  6. Step 6: Final answer
    x = 148,087.14

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.