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Finding the Third Proportional to 81,226.13 and 121,165.88

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Solution

The third proportional to 81,226.13 and 121,165.88 is: 180,744.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,226.13 : 121,165.88 = 121,165.88 : x
  2. Step 2: Convert to fraction form
    81,226.13/121,165.88 = 121,165.88/x
  3. Step 3: Cross multiply
    81,226.13x = 121,165.88 × 121,165.88
  4. Step 4: Simplify right side
    81,226.13x = 14,681,169,264.52
  5. Step 5: Solve for x
    x = 14,681,169,264.52/81,226.13
  6. Step 6: Final answer
    x = 180,744.43

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