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Finding the Third Proportional to 87,641.25 and 131,313

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Solution

The third proportional to 87,641.25 and 131,313 is: 196,746.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,641.25 : 131,313 = 131,313 : x
  2. Step 2: Convert to fraction form
    87,641.25/131,313 = 131,313/x
  3. Step 3: Cross multiply
    87,641.25x = 131,313 × 131,313
  4. Step 4: Simplify right side
    87,641.25x = 17,243,103,969
  5. Step 5: Solve for x
    x = 17,243,103,969/87,641.25
  6. Step 6: Final answer
    x = 196,746.44

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.