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Finding the Third Proportional to 71,127 and 144,299.25

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Solution

The third proportional to 71,127 and 144,299.25 is: 292,747.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,127 : 144,299.25 = 144,299.25 : x
  2. Step 2: Convert to fraction form
    71,127/144,299.25 = 144,299.25/x
  3. Step 3: Cross multiply
    71,127x = 144,299.25 × 144,299.25
  4. Step 4: Simplify right side
    71,127x = 20,822,273,550.56
  5. Step 5: Solve for x
    x = 20,822,273,550.56/71,127
  6. Step 6: Final answer
    x = 292,747.81

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.