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Finding the Third Proportional to 71,463.25 and 141,119

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Solution

The third proportional to 71,463.25 and 141,119 is: 278,668.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,463.25 : 141,119 = 141,119 : x
  2. Step 2: Convert to fraction form
    71,463.25/141,119 = 141,119/x
  3. Step 3: Cross multiply
    71,463.25x = 141,119 × 141,119
  4. Step 4: Simplify right side
    71,463.25x = 19,914,572,161
  5. Step 5: Solve for x
    x = 19,914,572,161/71,463.25
  6. Step 6: Final answer
    x = 278,668.72

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Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.