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Finding the Third Proportional to 87,815 and 96,023

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Solution

The third proportional to 87,815 and 96,023 is: 104,998.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,815 : 96,023 = 96,023 : x
  2. Step 2: Convert to fraction form
    87,815/96,023 = 96,023/x
  3. Step 3: Cross multiply
    87,815x = 96,023 × 96,023
  4. Step 4: Simplify right side
    87,815x = 9,220,416,529
  5. Step 5: Solve for x
    x = 9,220,416,529/87,815
  6. Step 6: Final answer
    x = 104,998.20

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Why These Related Problems?

These problems maintain the same ratio (1.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.