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Finding the Third Proportional to 92,098 and 135,125

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Solution

The third proportional to 92,098 and 135,125 is: 198,253.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,098 : 135,125 = 135,125 : x
  2. Step 2: Convert to fraction form
    92,098/135,125 = 135,125/x
  3. Step 3: Cross multiply
    92,098x = 135,125 × 135,125
  4. Step 4: Simplify right side
    92,098x = 18,258,765,625
  5. Step 5: Solve for x
    x = 18,258,765,625/92,098
  6. Step 6: Final answer
    x = 198,253.66

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.