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Finding the Third Proportional to 91,115 and 142,917

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Solution

The third proportional to 91,115 and 142,917 is: 224,170.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,115 : 142,917 = 142,917 : x
  2. Step 2: Convert to fraction form
    91,115/142,917 = 142,917/x
  3. Step 3: Cross multiply
    91,115x = 142,917 × 142,917
  4. Step 4: Simplify right side
    91,115x = 20,425,268,889
  5. Step 5: Solve for x
    x = 20,425,268,889/91,115
  6. Step 6: Final answer
    x = 224,170.21

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.