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Finding the Third Proportional to 67,900 and 88,718

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Solution

The third proportional to 67,900 and 88,718 is: 115,918.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,900 : 88,718 = 88,718 : x
  2. Step 2: Convert to fraction form
    67,900/88,718 = 88,718/x
  3. Step 3: Cross multiply
    67,900x = 88,718 × 88,718
  4. Step 4: Simplify right side
    67,900x = 7,870,883,524
  5. Step 5: Solve for x
    x = 7,870,883,524/67,900
  6. Step 6: Final answer
    x = 115,918.76

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Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.