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Finding the Third Proportional to 66,909 and 91,749

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Solution

The third proportional to 66,909 and 91,749 is: 125,810.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,909 : 91,749 = 91,749 : x
  2. Step 2: Convert to fraction form
    66,909/91,749 = 91,749/x
  3. Step 3: Cross multiply
    66,909x = 91,749 × 91,749
  4. Step 4: Simplify right side
    66,909x = 8,417,879,001
  5. Step 5: Solve for x
    x = 8,417,879,001/66,909
  6. Step 6: Final answer
    x = 125,810.86

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.