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Finding the Third Proportional to 76,302 and 115,749

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Solution

The third proportional to 76,302 and 115,749 is: 175,589.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,302 : 115,749 = 115,749 : x
  2. Step 2: Convert to fraction form
    76,302/115,749 = 115,749/x
  3. Step 3: Cross multiply
    76,302x = 115,749 × 115,749
  4. Step 4: Simplify right side
    76,302x = 13,397,831,001
  5. Step 5: Solve for x
    x = 13,397,831,001/76,302
  6. Step 6: Final answer
    x = 175,589.51

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.