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Finding the Third Proportional to 89,036.50 and 138,661

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Solution

The third proportional to 89,036.50 and 138,661 is: 215,943.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,036.50 : 138,661 = 138,661 : x
  2. Step 2: Convert to fraction form
    89,036.50/138,661 = 138,661/x
  3. Step 3: Cross multiply
    89,036.50x = 138,661 × 138,661
  4. Step 4: Simplify right side
    89,036.50x = 19,226,872,921
  5. Step 5: Solve for x
    x = 19,226,872,921/89,036.50
  6. Step 6: Final answer
    x = 215,943.72

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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.