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Finding the Third Proportional to 73,552 and 158,766

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Solution

The third proportional to 73,552 and 158,766 is: 342,705.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,552 : 158,766 = 158,766 : x
  2. Step 2: Convert to fraction form
    73,552/158,766 = 158,766/x
  3. Step 3: Cross multiply
    73,552x = 158,766 × 158,766
  4. Step 4: Simplify right side
    73,552x = 25,206,642,756
  5. Step 5: Solve for x
    x = 25,206,642,756/73,552
  6. Step 6: Final answer
    x = 342,705.06

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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.