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Finding the Third Proportional to 32,151 and 69,213

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Solution

The third proportional to 32,151 and 69,213 is: 148,998.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,151 : 69,213 = 69,213 : x
  2. Step 2: Convert to fraction form
    32,151/69,213 = 69,213/x
  3. Step 3: Cross multiply
    32,151x = 69,213 × 69,213
  4. Step 4: Simplify right side
    32,151x = 4,790,439,369
  5. Step 5: Solve for x
    x = 4,790,439,369/32,151
  6. Step 6: Final answer
    x = 148,998.15

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.