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Finding the Third Proportional to 67,749 and 95,319

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Solution

The third proportional to 67,749 and 95,319 is: 134,108.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,749 : 95,319 = 95,319 : x
  2. Step 2: Convert to fraction form
    67,749/95,319 = 95,319/x
  3. Step 3: Cross multiply
    67,749x = 95,319 × 95,319
  4. Step 4: Simplify right side
    67,749x = 9,085,711,761
  5. Step 5: Solve for x
    x = 9,085,711,761/67,749
  6. Step 6: Final answer
    x = 134,108.43

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.