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Finding the Third Proportional to 32,169 and 71,223

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Solution

The third proportional to 32,169 and 71,223 is: 157,689.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,169 : 71,223 = 71,223 : x
  2. Step 2: Convert to fraction form
    32,169/71,223 = 71,223/x
  3. Step 3: Cross multiply
    32,169x = 71,223 × 71,223
  4. Step 4: Simplify right side
    32,169x = 5,072,715,729
  5. Step 5: Solve for x
    x = 5,072,715,729/32,169
  6. Step 6: Final answer
    x = 157,689.57

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.