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Finding the Third Proportional to 71,597.25 and 109,279.13

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Solution

The third proportional to 71,597.25 and 109,279.13 is: 166,793.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,597.25 : 109,279.13 = 109,279.13 : x
  2. Step 2: Convert to fraction form
    71,597.25/109,279.13 = 109,279.13/x
  3. Step 3: Cross multiply
    71,597.25x = 109,279.13 × 109,279.13
  4. Step 4: Simplify right side
    71,597.25x = 11,941,927,160.77
  5. Step 5: Solve for x
    x = 11,941,927,160.77/71,597.25
  6. Step 6: Final answer
    x = 166,793.10

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.