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Finding the Third Proportional to 122,713 and 188,554

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Solution

The third proportional to 122,713 and 188,554 is: 289,721.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,713 : 188,554 = 188,554 : x
  2. Step 2: Convert to fraction form
    122,713/188,554 = 188,554/x
  3. Step 3: Cross multiply
    122,713x = 188,554 × 188,554
  4. Step 4: Simplify right side
    122,713x = 35,552,610,916
  5. Step 5: Solve for x
    x = 35,552,610,916/122,713
  6. Step 6: Final answer
    x = 289,721.63

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.