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Finding the Third Proportional to 67,898 and 98,769

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Solution

The third proportional to 67,898 and 98,769 is: 143,676.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,898 : 98,769 = 98,769 : x
  2. Step 2: Convert to fraction form
    67,898/98,769 = 98,769/x
  3. Step 3: Cross multiply
    67,898x = 98,769 × 98,769
  4. Step 4: Simplify right side
    67,898x = 9,755,315,361
  5. Step 5: Solve for x
    x = 9,755,315,361/67,898
  6. Step 6: Final answer
    x = 143,676.03

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.