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Finding the Third Proportional to 70,082 and 108,814

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Solution

The third proportional to 70,082 and 108,814 is: 168,951.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,082 : 108,814 = 108,814 : x
  2. Step 2: Convert to fraction form
    70,082/108,814 = 108,814/x
  3. Step 3: Cross multiply
    70,082x = 108,814 × 108,814
  4. Step 4: Simplify right side
    70,082x = 11,840,486,596
  5. Step 5: Solve for x
    x = 11,840,486,596/70,082
  6. Step 6: Final answer
    x = 168,951.89

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.