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Finding the Third Proportional to 41,456 and 97,452

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Solution

The third proportional to 41,456 and 97,452 is: 229,083.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,456 : 97,452 = 97,452 : x
  2. Step 2: Convert to fraction form
    41,456/97,452 = 97,452/x
  3. Step 3: Cross multiply
    41,456x = 97,452 × 97,452
  4. Step 4: Simplify right side
    41,456x = 9,496,892,304
  5. Step 5: Solve for x
    x = 9,496,892,304/41,456
  6. Step 6: Final answer
    x = 229,083.66

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These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.