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Finding the Third Proportional to 100,814 and 148,921

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Solution

The third proportional to 100,814 and 148,921 is: 219,983.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,814 : 148,921 = 148,921 : x
  2. Step 2: Convert to fraction form
    100,814/148,921 = 148,921/x
  3. Step 3: Cross multiply
    100,814x = 148,921 × 148,921
  4. Step 4: Simplify right side
    100,814x = 22,177,464,241
  5. Step 5: Solve for x
    x = 22,177,464,241/100,814
  6. Step 6: Final answer
    x = 219,983.97

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.