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Finding the Third Proportional to 75,898 and 114,092

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Solution

The third proportional to 75,898 and 114,092 is: 171,506.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,898 : 114,092 = 114,092 : x
  2. Step 2: Convert to fraction form
    75,898/114,092 = 114,092/x
  3. Step 3: Cross multiply
    75,898x = 114,092 × 114,092
  4. Step 4: Simplify right side
    75,898x = 13,016,984,464
  5. Step 5: Solve for x
    x = 13,016,984,464/75,898
  6. Step 6: Final answer
    x = 171,506.29

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.