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Finding the Third Proportional to 70,600.13 and 137,652.75

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Solution

The third proportional to 70,600.13 and 137,652.75 is: 268,388.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,600.13 : 137,652.75 = 137,652.75 : x
  2. Step 2: Convert to fraction form
    70,600.13/137,652.75 = 137,652.75/x
  3. Step 3: Cross multiply
    70,600.13x = 137,652.75 × 137,652.75
  4. Step 4: Simplify right side
    70,600.13x = 18,948,279,582.56
  5. Step 5: Solve for x
    x = 18,948,279,582.56/70,600.13
  6. Step 6: Final answer
    x = 268,388.75

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.