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Finding the Third Proportional to 70,687.69 and 152,443.27

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Solution

The third proportional to 70,687.69 and 152,443.27 is: 328,755.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,687.69 : 152,443.27 = 152,443.27 : x
  2. Step 2: Convert to fraction form
    70,687.69/152,443.27 = 152,443.27/x
  3. Step 3: Cross multiply
    70,687.69x = 152,443.27 × 152,443.27
  4. Step 4: Simplify right side
    70,687.69x = 23,238,949,234.41
  5. Step 5: Solve for x
    x = 23,238,949,234.41/70,687.69
  6. Step 6: Final answer
    x = 328,755.26

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.