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Finding the Third Proportional to 82,146.38 and 124,756.88

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Solution

The third proportional to 82,146.38 and 124,756.88 is: 189,470.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,146.38 : 124,756.88 = 124,756.88 : x
  2. Step 2: Convert to fraction form
    82,146.38/124,756.88 = 124,756.88/x
  3. Step 3: Cross multiply
    82,146.38x = 124,756.88 × 124,756.88
  4. Step 4: Simplify right side
    82,146.38x = 15,564,277,859.77
  5. Step 5: Solve for x
    x = 15,564,277,859.77/82,146.38
  6. Step 6: Final answer
    x = 189,470.05

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.