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Finding the Third Proportional to 73,918 and 158,905

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Solution

The third proportional to 73,918 and 158,905 is: 341,605.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,918 : 158,905 = 158,905 : x
  2. Step 2: Convert to fraction form
    73,918/158,905 = 158,905/x
  3. Step 3: Cross multiply
    73,918x = 158,905 × 158,905
  4. Step 4: Simplify right side
    73,918x = 25,250,799,025
  5. Step 5: Solve for x
    x = 25,250,799,025/73,918
  6. Step 6: Final answer
    x = 341,605.55

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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.