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Finding the Third Proportional to 92,113 and 135,147

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Solution

The third proportional to 92,113 and 135,147 is: 198,285.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,113 : 135,147 = 135,147 : x
  2. Step 2: Convert to fraction form
    92,113/135,147 = 135,147/x
  3. Step 3: Cross multiply
    92,113x = 135,147 × 135,147
  4. Step 4: Simplify right side
    92,113x = 18,264,711,609
  5. Step 5: Solve for x
    x = 18,264,711,609/92,113
  6. Step 6: Final answer
    x = 198,285.93

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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.