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Finding the Third Proportional to 73,110 and 158,748

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Solution

The third proportional to 73,110 and 158,748 is: 344,698.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,110 : 158,748 = 158,748 : x
  2. Step 2: Convert to fraction form
    73,110/158,748 = 158,748/x
  3. Step 3: Cross multiply
    73,110x = 158,748 × 158,748
  4. Step 4: Simplify right side
    73,110x = 25,200,927,504
  5. Step 5: Solve for x
    x = 25,200,927,504/73,110
  6. Step 6: Final answer
    x = 344,698.78

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.