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Finding the Third Proportional to 69,057 and 151,290

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Solution

The third proportional to 69,057 and 151,290 is: 331,445.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,057 : 151,290 = 151,290 : x
  2. Step 2: Convert to fraction form
    69,057/151,290 = 151,290/x
  3. Step 3: Cross multiply
    69,057x = 151,290 × 151,290
  4. Step 4: Simplify right side
    69,057x = 22,888,664,100
  5. Step 5: Solve for x
    x = 22,888,664,100/69,057
  6. Step 6: Final answer
    x = 331,445.97

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.