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Finding the Third Proportional to 40,098 and 86,610

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Solution

The third proportional to 40,098 and 86,610 is: 187,073.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,098 : 86,610 = 86,610 : x
  2. Step 2: Convert to fraction form
    40,098/86,610 = 86,610/x
  3. Step 3: Cross multiply
    40,098x = 86,610 × 86,610
  4. Step 4: Simplify right side
    40,098x = 7,501,292,100
  5. Step 5: Solve for x
    x = 7,501,292,100/40,098
  6. Step 6: Final answer
    x = 187,073.97

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.