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Finding the Third Proportional to 70,950 and 152,663

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Solution

The third proportional to 70,950 and 152,663 is: 328,484.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,950 : 152,663 = 152,663 : x
  2. Step 2: Convert to fraction form
    70,950/152,663 = 152,663/x
  3. Step 3: Cross multiply
    70,950x = 152,663 × 152,663
  4. Step 4: Simplify right side
    70,950x = 23,305,991,569
  5. Step 5: Solve for x
    x = 23,305,991,569/70,950
  6. Step 6: Final answer
    x = 328,484.73

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.