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Finding the Third Proportional to 71,918 and 158,146

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Solution

The third proportional to 71,918 and 158,146 is: 347,759.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,918 : 158,146 = 158,146 : x
  2. Step 2: Convert to fraction form
    71,918/158,146 = 158,146/x
  3. Step 3: Cross multiply
    71,918x = 158,146 × 158,146
  4. Step 4: Simplify right side
    71,918x = 25,010,157,316
  5. Step 5: Solve for x
    x = 25,010,157,316/71,918
  6. Step 6: Final answer
    x = 347,759.36

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.