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Finding the Third Proportional to 69,363 and 151,567

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Solution

The third proportional to 69,363 and 151,567 is: 331,193.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,363 : 151,567 = 151,567 : x
  2. Step 2: Convert to fraction form
    69,363/151,567 = 151,567/x
  3. Step 3: Cross multiply
    69,363x = 151,567 × 151,567
  4. Step 4: Simplify right side
    69,363x = 22,972,555,489
  5. Step 5: Solve for x
    x = 22,972,555,489/69,363
  6. Step 6: Final answer
    x = 331,193.22

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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.