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Finding the Third Proportional to 82,851.19 and 124,139.25

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Solution

The third proportional to 82,851.19 and 124,139.25 is: 186,002.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,851.19 : 124,139.25 = 124,139.25 : x
  2. Step 2: Convert to fraction form
    82,851.19/124,139.25 = 124,139.25/x
  3. Step 3: Cross multiply
    82,851.19x = 124,139.25 × 124,139.25
  4. Step 4: Simplify right side
    82,851.19x = 15,410,553,390.56
  5. Step 5: Solve for x
    x = 15,410,553,390.56/82,851.19
  6. Step 6: Final answer
    x = 186,002.81

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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.