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Finding the Third Proportional to 82,323.84 and 124,134.19

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Solution

The third proportional to 82,323.84 and 124,134.19 is: 187,179.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,323.84 : 124,134.19 = 124,134.19 : x
  2. Step 2: Convert to fraction form
    82,323.84/124,134.19 = 124,134.19/x
  3. Step 3: Cross multiply
    82,323.84x = 124,134.19 × 124,134.19
  4. Step 4: Simplify right side
    82,323.84x = 15,409,296,506.29
  5. Step 5: Solve for x
    x = 15,409,296,506.29/82,323.84
  6. Step 6: Final answer
    x = 187,179.02

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.