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Finding the Third Proportional to 101,074 and 158,082

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Solution

The third proportional to 101,074 and 158,082 is: 247,243.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,074 : 158,082 = 158,082 : x
  2. Step 2: Convert to fraction form
    101,074/158,082 = 158,082/x
  3. Step 3: Cross multiply
    101,074x = 158,082 × 158,082
  4. Step 4: Simplify right side
    101,074x = 24,989,918,724
  5. Step 5: Solve for x
    x = 24,989,918,724/101,074
  6. Step 6: Final answer
    x = 247,243.79

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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.