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Finding the Third Proportional to 54,538.88 and 80,012.81

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Solution

The third proportional to 54,538.88 and 80,012.81 is: 117,385.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,538.88 : 80,012.81 = 80,012.81 : x
  2. Step 2: Convert to fraction form
    54,538.88/80,012.81 = 80,012.81/x
  3. Step 3: Cross multiply
    54,538.88x = 80,012.81 × 80,012.81
  4. Step 4: Simplify right side
    54,538.88x = 6,402,050,164.16
  5. Step 5: Solve for x
    x = 6,402,050,164.16/54,538.88
  6. Step 6: Final answer
    x = 117,385.08

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.