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Finding the Third Proportional to 55,407.38 and 83,089.13

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Solution

The third proportional to 55,407.38 and 83,089.13 is: 124,600.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,407.38 : 83,089.13 = 83,089.13 : x
  2. Step 2: Convert to fraction form
    55,407.38/83,089.13 = 83,089.13/x
  3. Step 3: Cross multiply
    55,407.38x = 83,089.13 × 83,089.13
  4. Step 4: Simplify right side
    55,407.38x = 6,903,802,693.27
  5. Step 5: Solve for x
    x = 6,903,802,693.27/55,407.38
  6. Step 6: Final answer
    x = 124,600.79

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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.