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Finding the Third Proportional to 54,566.16 and 82,051.73

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Solution

The third proportional to 54,566.16 and 82,051.73 is: 123,382.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,566.16 : 82,051.73 = 82,051.73 : x
  2. Step 2: Convert to fraction form
    54,566.16/82,051.73 = 82,051.73/x
  3. Step 3: Cross multiply
    54,566.16x = 82,051.73 × 82,051.73
  4. Step 4: Simplify right side
    54,566.16x = 6,732,487,113.95
  5. Step 5: Solve for x
    x = 6,732,487,113.95/54,566.16
  6. Step 6: Final answer
    x = 123,382.10

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.