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Finding the Third Proportional to 67,828 and 99,781

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Solution

The third proportional to 67,828 and 99,781 is: 146,786.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,828 : 99,781 = 99,781 : x
  2. Step 2: Convert to fraction form
    67,828/99,781 = 99,781/x
  3. Step 3: Cross multiply
    67,828x = 99,781 × 99,781
  4. Step 4: Simplify right side
    67,828x = 9,956,247,961
  5. Step 5: Solve for x
    x = 9,956,247,961/67,828
  6. Step 6: Final answer
    x = 146,786.70

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.