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Finding the Third Proportional to 136,585.13 and 213,793.17

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Solution

The third proportional to 136,585.13 and 213,793.17 is: 334,644.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,585.13 : 213,793.17 = 213,793.17 : x
  2. Step 2: Convert to fraction form
    136,585.13/213,793.17 = 213,793.17/x
  3. Step 3: Cross multiply
    136,585.13x = 213,793.17 × 213,793.17
  4. Step 4: Simplify right side
    136,585.13x = 45,707,520,340.37
  5. Step 5: Solve for x
    x = 45,707,520,340.37/136,585.13
  6. Step 6: Final answer
    x = 334,644.94

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.