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Finding the Third Proportional to 89,052 and 136,938

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Solution

The third proportional to 89,052 and 136,938 is: 210,573.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,052 : 136,938 = 136,938 : x
  2. Step 2: Convert to fraction form
    89,052/136,938 = 136,938/x
  3. Step 3: Cross multiply
    89,052x = 136,938 × 136,938
  4. Step 4: Simplify right side
    89,052x = 18,752,015,844
  5. Step 5: Solve for x
    x = 18,752,015,844/89,052
  6. Step 6: Final answer
    x = 210,573.78

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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.