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Finding the Third Proportional to 57,065 and 87,824

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Solution

The third proportional to 57,065 and 87,824 is: 135,162.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,065 : 87,824 = 87,824 : x
  2. Step 2: Convert to fraction form
    57,065/87,824 = 87,824/x
  3. Step 3: Cross multiply
    57,065x = 87,824 × 87,824
  4. Step 4: Simplify right side
    57,065x = 7,713,054,976
  5. Step 5: Solve for x
    x = 7,713,054,976/57,065
  6. Step 6: Final answer
    x = 135,162.62

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Why These Related Problems?

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