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Finding the Third Proportional to 40,098 and 86,614

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Solution

The third proportional to 40,098 and 86,614 is: 187,091.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,098 : 86,614 = 86,614 : x
  2. Step 2: Convert to fraction form
    40,098/86,614 = 86,614/x
  3. Step 3: Cross multiply
    40,098x = 86,614 × 86,614
  4. Step 4: Simplify right side
    40,098x = 7,501,984,996
  5. Step 5: Solve for x
    x = 7,501,984,996/40,098
  6. Step 6: Final answer
    x = 187,091.25

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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.