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Finding the Third Proportional to 55,145.81 and 82,870.59

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Solution

The third proportional to 55,145.81 and 82,870.59 is: 124,534.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,145.81 : 82,870.59 = 82,870.59 : x
  2. Step 2: Convert to fraction form
    55,145.81/82,870.59 = 82,870.59/x
  3. Step 3: Cross multiply
    55,145.81x = 82,870.59 × 82,870.59
  4. Step 4: Simplify right side
    55,145.81x = 6,867,535,308.48
  5. Step 5: Solve for x
    x = 6,867,535,308.48/55,145.81
  6. Step 6: Final answer
    x = 124,534.12

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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.