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Finding the Third Proportional to 92,689.31 and 122,115.09

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Solution

The third proportional to 92,689.31 and 122,115.09 is: 160,882.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,689.31 : 122,115.09 = 122,115.09 : x
  2. Step 2: Convert to fraction form
    92,689.31/122,115.09 = 122,115.09/x
  3. Step 3: Cross multiply
    92,689.31x = 122,115.09 × 122,115.09
  4. Step 4: Simplify right side
    92,689.31x = 14,912,096,121.57
  5. Step 5: Solve for x
    x = 14,912,096,121.57/92,689.31
  6. Step 6: Final answer
    x = 160,882.58

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These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.