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Finding the Third Proportional to 87,434.44 and 110,911.78

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Solution

The third proportional to 87,434.44 and 110,911.78 is: 140,693.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,434.44 : 110,911.78 = 110,911.78 : x
  2. Step 2: Convert to fraction form
    87,434.44/110,911.78 = 110,911.78/x
  3. Step 3: Cross multiply
    87,434.44x = 110,911.78 × 110,911.78
  4. Step 4: Simplify right side
    87,434.44x = 12,301,423,220.05
  5. Step 5: Solve for x
    x = 12,301,423,220.05/87,434.44
  6. Step 6: Final answer
    x = 140,693.11

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Why These Related Problems?

These problems maintain the same ratio (1.27) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.