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Finding the Third Proportional to 60,879 and 82,935

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Solution

The third proportional to 60,879 and 82,935 is: 112,981.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,879 : 82,935 = 82,935 : x
  2. Step 2: Convert to fraction form
    60,879/82,935 = 82,935/x
  3. Step 3: Cross multiply
    60,879x = 82,935 × 82,935
  4. Step 4: Simplify right side
    60,879x = 6,878,214,225
  5. Step 5: Solve for x
    x = 6,878,214,225/60,879
  6. Step 6: Final answer
    x = 112,981.72

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Why These Related Problems?

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