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Finding the Third Proportional to 92,000.25 and 134,971.31

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Solution

The third proportional to 92,000.25 and 134,971.31 is: 198,013.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,000.25 : 134,971.31 = 134,971.31 : x
  2. Step 2: Convert to fraction form
    92,000.25/134,971.31 = 134,971.31/x
  3. Step 3: Cross multiply
    92,000.25x = 134,971.31 × 134,971.31
  4. Step 4: Simplify right side
    92,000.25x = 18,217,255,197.97
  5. Step 5: Solve for x
    x = 18,217,255,197.97/92,000.25
  6. Step 6: Final answer
    x = 198,013.11

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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.