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Finding the Third Proportional to 87,004.13 and 95,995.13

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Solution

The third proportional to 87,004.13 and 95,995.13 is: 105,915.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,004.13 : 95,995.13 = 95,995.13 : x
  2. Step 2: Convert to fraction form
    87,004.13/95,995.13 = 95,995.13/x
  3. Step 3: Cross multiply
    87,004.13x = 95,995.13 × 95,995.13
  4. Step 4: Simplify right side
    87,004.13x = 9,215,064,023.77
  5. Step 5: Solve for x
    x = 9,215,064,023.77/87,004.13
  6. Step 6: Final answer
    x = 105,915.25

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Why These Related Problems?

These problems maintain the same ratio (1.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.