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Finding the Third Proportional to 65,723 and 98,474

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Solution

The third proportional to 65,723 and 98,474 is: 147,545.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,723 : 98,474 = 98,474 : x
  2. Step 2: Convert to fraction form
    65,723/98,474 = 98,474/x
  3. Step 3: Cross multiply
    65,723x = 98,474 × 98,474
  4. Step 4: Simplify right side
    65,723x = 9,697,128,676
  5. Step 5: Solve for x
    x = 9,697,128,676/65,723
  6. Step 6: Final answer
    x = 147,545.44

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.