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Finding the Third Proportional to 80,551.13 and 122,947.88

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Solution

The third proportional to 80,551.13 and 122,947.88 is: 187,659.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,551.13 : 122,947.88 = 122,947.88 : x
  2. Step 2: Convert to fraction form
    80,551.13/122,947.88 = 122,947.88/x
  3. Step 3: Cross multiply
    80,551.13x = 122,947.88 × 122,947.88
  4. Step 4: Simplify right side
    80,551.13x = 15,116,179,967.02
  5. Step 5: Solve for x
    x = 15,116,179,967.02/80,551.13
  6. Step 6: Final answer
    x = 187,659.45

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.