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Finding the Third Proportional to 99,759 and 145,917

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Solution

The third proportional to 99,759 and 145,917 is: 213,432.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,759 : 145,917 = 145,917 : x
  2. Step 2: Convert to fraction form
    99,759/145,917 = 145,917/x
  3. Step 3: Cross multiply
    99,759x = 145,917 × 145,917
  4. Step 4: Simplify right side
    99,759x = 21,291,770,889
  5. Step 5: Solve for x
    x = 21,291,770,889/99,759
  6. Step 6: Final answer
    x = 213,432.08

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.