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Finding the Third Proportional to 32,202 and 69,921

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Solution

The third proportional to 32,202 and 69,921 is: 151,821.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,202 : 69,921 = 69,921 : x
  2. Step 2: Convert to fraction form
    32,202/69,921 = 69,921/x
  3. Step 3: Cross multiply
    32,202x = 69,921 × 69,921
  4. Step 4: Simplify right side
    32,202x = 4,888,946,241
  5. Step 5: Solve for x
    x = 4,888,946,241/32,202
  6. Step 6: Final answer
    x = 151,821.20

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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.