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Finding the Third Proportional to 69,528 and 150,864

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Solution

The third proportional to 69,528 and 150,864 is: 327,349.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,528 : 150,864 = 150,864 : x
  2. Step 2: Convert to fraction form
    69,528/150,864 = 150,864/x
  3. Step 3: Cross multiply
    69,528x = 150,864 × 150,864
  4. Step 4: Simplify right side
    69,528x = 22,759,946,496
  5. Step 5: Solve for x
    x = 22,759,946,496/69,528
  6. Step 6: Final answer
    x = 327,349.36

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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.