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Finding the Third Proportional to 88,982 and 119,853

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Solution

The third proportional to 88,982 and 119,853 is: 161,434.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    88,982 : 119,853 = 119,853 : x
  2. Step 2: Convert to fraction form
    88,982/119,853 = 119,853/x
  3. Step 3: Cross multiply
    88,982x = 119,853 × 119,853
  4. Step 4: Simplify right side
    88,982x = 14,364,741,609
  5. Step 5: Solve for x
    x = 14,364,741,609/88,982
  6. Step 6: Final answer
    x = 161,434.24

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.