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Finding the Third Proportional to 81,048.25 and 130,221.75

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Solution

The third proportional to 81,048.25 and 130,221.75 is: 209,229.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,048.25 : 130,221.75 = 130,221.75 : x
  2. Step 2: Convert to fraction form
    81,048.25/130,221.75 = 130,221.75/x
  3. Step 3: Cross multiply
    81,048.25x = 130,221.75 × 130,221.75
  4. Step 4: Simplify right side
    81,048.25x = 16,957,704,173.06
  5. Step 5: Solve for x
    x = 16,957,704,173.06/81,048.25
  6. Step 6: Final answer
    x = 209,229.74

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.