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Finding the Third Proportional to 55,892.81 and 83,079.84

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Solution

The third proportional to 55,892.81 and 83,079.84 is: 123,491.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,892.81 : 83,079.84 = 83,079.84 : x
  2. Step 2: Convert to fraction form
    55,892.81/83,079.84 = 83,079.84/x
  3. Step 3: Cross multiply
    55,892.81x = 83,079.84 × 83,079.84
  4. Step 4: Simplify right side
    55,892.81x = 6,902,260,437.52
  5. Step 5: Solve for x
    x = 6,902,260,437.52/55,892.81
  6. Step 6: Final answer
    x = 123,491.02

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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.