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Finding the Third Proportional to 65,625 and 98,419

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Solution

The third proportional to 65,625 and 98,419 is: 147,600.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,625 : 98,419 = 98,419 : x
  2. Step 2: Convert to fraction form
    65,625/98,419 = 98,419/x
  3. Step 3: Cross multiply
    65,625x = 98,419 × 98,419
  4. Step 4: Simplify right side
    65,625x = 9,686,299,561
  5. Step 5: Solve for x
    x = 9,686,299,561/65,625
  6. Step 6: Final answer
    x = 147,600.76

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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.