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Finding the Third Proportional to 87,523 and 96,546

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Solution

The third proportional to 87,523 and 96,546 is: 106,499.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,523 : 96,546 = 96,546 : x
  2. Step 2: Convert to fraction form
    87,523/96,546 = 96,546/x
  3. Step 3: Cross multiply
    87,523x = 96,546 × 96,546
  4. Step 4: Simplify right side
    87,523x = 9,321,130,116
  5. Step 5: Solve for x
    x = 9,321,130,116/87,523
  6. Step 6: Final answer
    x = 106,499.21

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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.