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Finding the Third Proportional to 100,442.53 and 136,412.86

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Solution

The third proportional to 100,442.53 and 136,412.86 is: 185,264.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,442.53 : 136,412.86 = 136,412.86 : x
  2. Step 2: Convert to fraction form
    100,442.53/136,412.86 = 136,412.86/x
  3. Step 3: Cross multiply
    100,442.53x = 136,412.86 × 136,412.86
  4. Step 4: Simplify right side
    100,442.53x = 18,608,468,202.86
  5. Step 5: Solve for x
    x = 18,608,468,202.86/100,442.53
  6. Step 6: Final answer
    x = 185,264.83

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.