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Finding the Third Proportional to 65,134 and 97,762

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Solution

The third proportional to 65,134 and 97,762 is: 146,734.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,134 : 97,762 = 97,762 : x
  2. Step 2: Convert to fraction form
    65,134/97,762 = 97,762/x
  3. Step 3: Cross multiply
    65,134x = 97,762 × 97,762
  4. Step 4: Simplify right side
    65,134x = 9,557,408,644
  5. Step 5: Solve for x
    x = 9,557,408,644/65,134
  6. Step 6: Final answer
    x = 146,734.56

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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.