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Finding the Third Proportional to 137,793.66 and 212,932.55

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Solution

The third proportional to 137,793.66 and 212,932.55 is: 329,044.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,793.66 : 212,932.55 = 212,932.55 : x
  2. Step 2: Convert to fraction form
    137,793.66/212,932.55 = 212,932.55/x
  3. Step 3: Cross multiply
    137,793.66x = 212,932.55 × 212,932.55
  4. Step 4: Simplify right side
    137,793.66x = 45,340,269,518.67
  5. Step 5: Solve for x
    x = 45,340,269,518.67/137,793.66
  6. Step 6: Final answer
    x = 329,044.68

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.