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Finding the Third Proportional to 67,880 and 99,846

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Solution

The third proportional to 67,880 and 99,846 is: 146,865.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,880 : 99,846 = 99,846 : x
  2. Step 2: Convert to fraction form
    67,880/99,846 = 99,846/x
  3. Step 3: Cross multiply
    67,880x = 99,846 × 99,846
  4. Step 4: Simplify right side
    67,880x = 9,969,223,716
  5. Step 5: Solve for x
    x = 9,969,223,716/67,880
  6. Step 6: Final answer
    x = 146,865.41

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.