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Finding the Third Proportional to 67,864 and 99,769

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Solution

The third proportional to 67,864 and 99,769 is: 146,673.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,864 : 99,769 = 99,769 : x
  2. Step 2: Convert to fraction form
    67,864/99,769 = 99,769/x
  3. Step 3: Cross multiply
    67,864x = 99,769 × 99,769
  4. Step 4: Simplify right side
    67,864x = 9,953,853,361
  5. Step 5: Solve for x
    x = 9,953,853,361/67,864
  6. Step 6: Final answer
    x = 146,673.54

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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.