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Finding the Third Proportional to 32,497 and 70,177

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Solution

The third proportional to 32,497 and 70,177 is: 151,546.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,497 : 70,177 = 70,177 : x
  2. Step 2: Convert to fraction form
    32,497/70,177 = 70,177/x
  3. Step 3: Cross multiply
    32,497x = 70,177 × 70,177
  4. Step 4: Simplify right side
    32,497x = 4,924,811,329
  5. Step 5: Solve for x
    x = 4,924,811,329/32,497
  6. Step 6: Final answer
    x = 151,546.65

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.