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Finding the Third Proportional to 60,659 and 131,254

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Solution

The third proportional to 60,659 and 131,254 is: 284,007.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,659 : 131,254 = 131,254 : x
  2. Step 2: Convert to fraction form
    60,659/131,254 = 131,254/x
  3. Step 3: Cross multiply
    60,659x = 131,254 × 131,254
  4. Step 4: Simplify right side
    60,659x = 17,227,612,516
  5. Step 5: Solve for x
    x = 17,227,612,516/60,659
  6. Step 6: Final answer
    x = 284,007.53

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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.