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Finding the Third Proportional to 65,538 and 98,073

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Solution

The third proportional to 65,538 and 98,073 is: 146,759.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,538 : 98,073 = 98,073 : x
  2. Step 2: Convert to fraction form
    65,538/98,073 = 98,073/x
  3. Step 3: Cross multiply
    65,538x = 98,073 × 98,073
  4. Step 4: Simplify right side
    65,538x = 9,618,313,329
  5. Step 5: Solve for x
    x = 9,618,313,329/65,538
  6. Step 6: Final answer
    x = 146,759.34

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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.