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Finding the Third Proportional to 32,177 and 69,724

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Solution

The third proportional to 32,177 and 69,724 is: 151,084.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,177 : 69,724 = 69,724 : x
  2. Step 2: Convert to fraction form
    32,177/69,724 = 69,724/x
  3. Step 3: Cross multiply
    32,177x = 69,724 × 69,724
  4. Step 4: Simplify right side
    32,177x = 4,861,436,176
  5. Step 5: Solve for x
    x = 4,861,436,176/32,177
  6. Step 6: Final answer
    x = 151,084.20

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.