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Finding the Third Proportional to 32,199 and 69,915

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Solution

The third proportional to 32,199 and 69,915 is: 151,809.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,199 : 69,915 = 69,915 : x
  2. Step 2: Convert to fraction form
    32,199/69,915 = 69,915/x
  3. Step 3: Cross multiply
    32,199x = 69,915 × 69,915
  4. Step 4: Simplify right side
    32,199x = 4,888,107,225
  5. Step 5: Solve for x
    x = 4,888,107,225/32,199
  6. Step 6: Final answer
    x = 151,809.29

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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.