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Finding the Third Proportional to 60,867 and 131,454

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Solution

The third proportional to 60,867 and 131,454 is: 283,900.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,867 : 131,454 = 131,454 : x
  2. Step 2: Convert to fraction form
    60,867/131,454 = 131,454/x
  3. Step 3: Cross multiply
    60,867x = 131,454 × 131,454
  4. Step 4: Simplify right side
    60,867x = 17,280,154,116
  5. Step 5: Solve for x
    x = 17,280,154,116/60,867
  6. Step 6: Final answer
    x = 283,900.21

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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.