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Finding the Third Proportional to 82,364.90 and 125,286.91

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Solution

The third proportional to 82,364.90 and 125,286.91 is: 190,576.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,364.90 : 125,286.91 = 125,286.91 : x
  2. Step 2: Convert to fraction form
    82,364.90/125,286.91 = 125,286.91/x
  3. Step 3: Cross multiply
    82,364.90x = 125,286.91 × 125,286.91
  4. Step 4: Simplify right side
    82,364.90x = 15,696,809,367.10
  5. Step 5: Solve for x
    x = 15,696,809,367.10/82,364.90
  6. Step 6: Final answer
    x = 190,576.45

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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.