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Finding the Third Proportional to 32,754 and 70,177

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Solution

The third proportional to 32,754 and 70,177 is: 150,357.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,754 : 70,177 = 70,177 : x
  2. Step 2: Convert to fraction form
    32,754/70,177 = 70,177/x
  3. Step 3: Cross multiply
    32,754x = 70,177 × 70,177
  4. Step 4: Simplify right side
    32,754x = 4,924,811,329
  5. Step 5: Solve for x
    x = 4,924,811,329/32,754
  6. Step 6: Final answer
    x = 150,357.55

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.