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Finding the Third Proportional to 79,051 and 140,555

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Solution

The third proportional to 79,051 and 140,555 is: 249,910.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,051 : 140,555 = 140,555 : x
  2. Step 2: Convert to fraction form
    79,051/140,555 = 140,555/x
  3. Step 3: Cross multiply
    79,051x = 140,555 × 140,555
  4. Step 4: Simplify right side
    79,051x = 19,755,708,025
  5. Step 5: Solve for x
    x = 19,755,708,025/79,051
  6. Step 6: Final answer
    x = 249,910.92

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Why These Related Problems?

These problems maintain the same ratio (1.78) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.