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Finding the Third Proportional to 97,744 and 152,452

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Solution

The third proportional to 97,744 and 152,452 is: 237,780.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,744 : 152,452 = 152,452 : x
  2. Step 2: Convert to fraction form
    97,744/152,452 = 152,452/x
  3. Step 3: Cross multiply
    97,744x = 152,452 × 152,452
  4. Step 4: Simplify right side
    97,744x = 23,241,612,304
  5. Step 5: Solve for x
    x = 23,241,612,304/97,744
  6. Step 6: Final answer
    x = 237,780.45

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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.