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Finding the Third Proportional to 87,763.13 and 132,263.81

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Solution

The third proportional to 87,763.13 and 132,263.81 is: 199,328.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,763.13 : 132,263.81 = 132,263.81 : x
  2. Step 2: Convert to fraction form
    87,763.13/132,263.81 = 132,263.81/x
  3. Step 3: Cross multiply
    87,763.13x = 132,263.81 × 132,263.81
  4. Step 4: Simplify right side
    87,763.13x = 17,493,716,097.04
  5. Step 5: Solve for x
    x = 17,493,716,097.04/87,763.13
  6. Step 6: Final answer
    x = 199,328.77

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.