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Finding the Third Proportional to 82,950.75 and 124,836.19

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Solution

The third proportional to 82,950.75 and 124,836.19 is: 187,871.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,950.75 : 124,836.19 = 124,836.19 : x
  2. Step 2: Convert to fraction form
    82,950.75/124,836.19 = 124,836.19/x
  3. Step 3: Cross multiply
    82,950.75x = 124,836.19 × 124,836.19
  4. Step 4: Simplify right side
    82,950.75x = 15,584,073,709.54
  5. Step 5: Solve for x
    x = 15,584,073,709.54/82,950.75
  6. Step 6: Final answer
    x = 187,871.40

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.