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Finding the Third Proportional to 87,713.51 and 141,260.84

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Solution

The third proportional to 87,713.51 and 141,260.84 is: 227,497.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,713.51 : 141,260.84 = 141,260.84 : x
  2. Step 2: Convert to fraction form
    87,713.51/141,260.84 = 141,260.84/x
  3. Step 3: Cross multiply
    87,713.51x = 141,260.84 × 141,260.84
  4. Step 4: Simplify right side
    87,713.51x = 19,954,623,769.76
  5. Step 5: Solve for x
    x = 19,954,623,769.76/87,713.51
  6. Step 6: Final answer
    x = 227,497.73

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.