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Finding the Third Proportional to 89,076 and 136,974

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Solution

The third proportional to 89,076 and 136,974 is: 210,627.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,076 : 136,974 = 136,974 : x
  2. Step 2: Convert to fraction form
    89,076/136,974 = 136,974/x
  3. Step 3: Cross multiply
    89,076x = 136,974 × 136,974
  4. Step 4: Simplify right side
    89,076x = 18,761,876,676
  5. Step 5: Solve for x
    x = 18,761,876,676/89,076
  6. Step 6: Final answer
    x = 210,627.74

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.