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Finding the Third Proportional to 32,652 and 69,156

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Solution

The third proportional to 32,652 and 69,156 is: 146,470.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,652 : 69,156 = 69,156 : x
  2. Step 2: Convert to fraction form
    32,652/69,156 = 69,156/x
  3. Step 3: Cross multiply
    32,652x = 69,156 × 69,156
  4. Step 4: Simplify right side
    32,652x = 4,782,552,336
  5. Step 5: Solve for x
    x = 4,782,552,336/32,652
  6. Step 6: Final answer
    x = 146,470.43

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.