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Finding the Third Proportional to 55,785.38 and 83,800.13

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Solution

The third proportional to 55,785.38 and 83,800.13 is: 125,883.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,785.38 : 83,800.13 = 83,800.13 : x
  2. Step 2: Convert to fraction form
    55,785.38/83,800.13 = 83,800.13/x
  3. Step 3: Cross multiply
    55,785.38x = 83,800.13 × 83,800.13
  4. Step 4: Simplify right side
    55,785.38x = 7,022,460,950.02
  5. Step 5: Solve for x
    x = 7,022,460,950.02/55,785.38
  6. Step 6: Final answer
    x = 125,883.55

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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.