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Finding the Third Proportional to 92,766.52 and 138,906.77

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Solution

The third proportional to 92,766.52 and 138,906.77 is: 207,996.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,766.52 : 138,906.77 = 138,906.77 : x
  2. Step 2: Convert to fraction form
    92,766.52/138,906.77 = 138,906.77/x
  3. Step 3: Cross multiply
    92,766.52x = 138,906.77 × 138,906.77
  4. Step 4: Simplify right side
    92,766.52x = 19,295,091,706.82
  5. Step 5: Solve for x
    x = 19,295,091,706.82/92,766.52
  6. Step 6: Final answer
    x = 207,996.30

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.