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Finding the Third Proportional to 70,850 and 95,799

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Solution

The third proportional to 70,850 and 95,799 is: 129,533.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,850 : 95,799 = 95,799 : x
  2. Step 2: Convert to fraction form
    70,850/95,799 = 95,799/x
  3. Step 3: Cross multiply
    70,850x = 95,799 × 95,799
  4. Step 4: Simplify right side
    70,850x = 9,177,448,401
  5. Step 5: Solve for x
    x = 9,177,448,401/70,850
  6. Step 6: Final answer
    x = 129,533.50

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.