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Finding the Third Proportional to 69,757 and 152,554

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Solution

The third proportional to 69,757 and 152,554 is: 333,625.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,757 : 152,554 = 152,554 : x
  2. Step 2: Convert to fraction form
    69,757/152,554 = 152,554/x
  3. Step 3: Cross multiply
    69,757x = 152,554 × 152,554
  4. Step 4: Simplify right side
    69,757x = 23,272,722,916
  5. Step 5: Solve for x
    x = 23,272,722,916/69,757
  6. Step 6: Final answer
    x = 333,625.63

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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.