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Finding the Third Proportional to 71,493 and 152,799

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Solution

The third proportional to 71,493 and 152,799 is: 326,570.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,493 : 152,799 = 152,799 : x
  2. Step 2: Convert to fraction form
    71,493/152,799 = 152,799/x
  3. Step 3: Cross multiply
    71,493x = 152,799 × 152,799
  4. Step 4: Simplify right side
    71,493x = 23,347,534,401
  5. Step 5: Solve for x
    x = 23,347,534,401/71,493
  6. Step 6: Final answer
    x = 326,570.91

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.