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Finding the Third Proportional to 59,527 and 80,844

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Solution

The third proportional to 59,527 and 80,844 is: 109,794.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,527 : 80,844 = 80,844 : x
  2. Step 2: Convert to fraction form
    59,527/80,844 = 80,844/x
  3. Step 3: Cross multiply
    59,527x = 80,844 × 80,844
  4. Step 4: Simplify right side
    59,527x = 6,535,752,336
  5. Step 5: Solve for x
    x = 6,535,752,336/59,527
  6. Step 6: Final answer
    x = 109,794.75

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These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.