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Finding the Third Proportional to 56,406.38 and 81,966.94

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Solution

The third proportional to 56,406.38 and 81,966.94 is: 119,110.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,406.38 : 81,966.94 = 81,966.94 : x
  2. Step 2: Convert to fraction form
    56,406.38/81,966.94 = 81,966.94/x
  3. Step 3: Cross multiply
    56,406.38x = 81,966.94 × 81,966.94
  4. Step 4: Simplify right side
    56,406.38x = 6,718,578,843.13
  5. Step 5: Solve for x
    x = 6,718,578,843.13/56,406.38
  6. Step 6: Final answer
    x = 119,110.28

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These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.