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Finding the Third Proportional to 87,733.13 and 131,014.13

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Solution

The third proportional to 87,733.13 and 131,014.13 is: 195,646.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,733.13 : 131,014.13 = 131,014.13 : x
  2. Step 2: Convert to fraction form
    87,733.13/131,014.13 = 131,014.13/x
  3. Step 3: Cross multiply
    87,733.13x = 131,014.13 × 131,014.13
  4. Step 4: Simplify right side
    87,733.13x = 17,164,700,949.52
  5. Step 5: Solve for x
    x = 17,164,700,949.52/87,733.13
  6. Step 6: Final answer
    x = 195,646.75

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.