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Finding the Third Proportional to 92,500 and 198,124

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Solution

The third proportional to 92,500 and 198,124 is: 424,358.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,500 : 198,124 = 198,124 : x
  2. Step 2: Convert to fraction form
    92,500/198,124 = 198,124/x
  3. Step 3: Cross multiply
    92,500x = 198,124 × 198,124
  4. Step 4: Simplify right side
    92,500x = 39,253,119,376
  5. Step 5: Solve for x
    x = 39,253,119,376/92,500
  6. Step 6: Final answer
    x = 424,358.05

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.