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Finding the Third Proportional to 64,098 and 95,616

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Solution

The third proportional to 64,098 and 95,616 is: 142,631.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,098 : 95,616 = 95,616 : x
  2. Step 2: Convert to fraction form
    64,098/95,616 = 95,616/x
  3. Step 3: Cross multiply
    64,098x = 95,616 × 95,616
  4. Step 4: Simplify right side
    64,098x = 9,142,419,456
  5. Step 5: Solve for x
    x = 9,142,419,456/64,098
  6. Step 6: Final answer
    x = 142,631.90

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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.