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Finding the Third Proportional to 69,364 and 151,569

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Solution

The third proportional to 69,364 and 151,569 is: 331,197.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,364 : 151,569 = 151,569 : x
  2. Step 2: Convert to fraction form
    69,364/151,569 = 151,569/x
  3. Step 3: Cross multiply
    69,364x = 151,569 × 151,569
  4. Step 4: Simplify right side
    69,364x = 22,973,161,761
  5. Step 5: Solve for x
    x = 22,973,161,761/69,364
  6. Step 6: Final answer
    x = 331,197.19

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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.