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Finding the Third Proportional to 32,186 and 69,424

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Solution

The third proportional to 32,186 and 69,424 is: 149,744.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,186 : 69,424 = 69,424 : x
  2. Step 2: Convert to fraction form
    32,186/69,424 = 69,424/x
  3. Step 3: Cross multiply
    32,186x = 69,424 × 69,424
  4. Step 4: Simplify right side
    32,186x = 4,819,691,776
  5. Step 5: Solve for x
    x = 4,819,691,776/32,186
  6. Step 6: Final answer
    x = 149,744.98

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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.