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Finding the Third Proportional to 60,876 and 89,208

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Solution

The third proportional to 60,876 and 89,208 is: 130,725.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,876 : 89,208 = 89,208 : x
  2. Step 2: Convert to fraction form
    60,876/89,208 = 89,208/x
  3. Step 3: Cross multiply
    60,876x = 89,208 × 89,208
  4. Step 4: Simplify right side
    60,876x = 7,958,067,264
  5. Step 5: Solve for x
    x = 7,958,067,264/60,876
  6. Step 6: Final answer
    x = 130,725.86

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.