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Finding the Third Proportional to 131,277.38 and 144,811.13

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Solution

The third proportional to 131,277.38 and 144,811.13 is: 159,740.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,277.38 : 144,811.13 = 144,811.13 : x
  2. Step 2: Convert to fraction form
    131,277.38/144,811.13 = 144,811.13/x
  3. Step 3: Cross multiply
    131,277.38x = 144,811.13 × 144,811.13
  4. Step 4: Simplify right side
    131,277.38x = 20,970,261,923.77
  5. Step 5: Solve for x
    x = 20,970,261,923.77/131,277.38
  6. Step 6: Final answer
    x = 159,740.11

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Why These Related Problems?

These problems maintain the same ratio (1.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.