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Finding the Third Proportional to 70,544 and 95,700

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Solution

The third proportional to 70,544 and 95,700 is: 129,826.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,544 : 95,700 = 95,700 : x
  2. Step 2: Convert to fraction form
    70,544/95,700 = 95,700/x
  3. Step 3: Cross multiply
    70,544x = 95,700 × 95,700
  4. Step 4: Simplify right side
    70,544x = 9,158,490,000
  5. Step 5: Solve for x
    x = 9,158,490,000/70,544
  6. Step 6: Final answer
    x = 129,826.63

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.