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Finding the Third Proportional to 87,984 and 141,666.75

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Solution

The third proportional to 87,984 and 141,666.75 is: 228,103.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,984 : 141,666.75 = 141,666.75 : x
  2. Step 2: Convert to fraction form
    87,984/141,666.75 = 141,666.75/x
  3. Step 3: Cross multiply
    87,984x = 141,666.75 × 141,666.75
  4. Step 4: Simplify right side
    87,984x = 20,069,468,055.56
  5. Step 5: Solve for x
    x = 20,069,468,055.56/87,984
  6. Step 6: Final answer
    x = 228,103.61

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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.