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Finding the Third Proportional to 101,760.05 and 149,590.55

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Solution

The third proportional to 101,760.05 and 149,590.55 is: 219,902.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,760.05 : 149,590.55 = 149,590.55 : x
  2. Step 2: Convert to fraction form
    101,760.05/149,590.55 = 149,590.55/x
  3. Step 3: Cross multiply
    101,760.05x = 149,590.55 × 149,590.55
  4. Step 4: Simplify right side
    101,760.05x = 22,377,331,714.36
  5. Step 5: Solve for x
    x = 22,377,331,714.36/101,760.05
  6. Step 6: Final answer
    x = 219,902.92

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.