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Finding the Third Proportional to 65,934 and 97,452

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Solution

The third proportional to 65,934 and 97,452 is: 144,036.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,934 : 97,452 = 97,452 : x
  2. Step 2: Convert to fraction form
    65,934/97,452 = 97,452/x
  3. Step 3: Cross multiply
    65,934x = 97,452 × 97,452
  4. Step 4: Simplify right side
    65,934x = 9,496,892,304
  5. Step 5: Solve for x
    x = 9,496,892,304/65,934
  6. Step 6: Final answer
    x = 144,036.34

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These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.