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Finding the Third Proportional to 122,232 and 252,078

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Solution

The third proportional to 122,232 and 252,078 is: 519,858.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,232 : 252,078 = 252,078 : x
  2. Step 2: Convert to fraction form
    122,232/252,078 = 252,078/x
  3. Step 3: Cross multiply
    122,232x = 252,078 × 252,078
  4. Step 4: Simplify right side
    122,232x = 63,543,318,084
  5. Step 5: Solve for x
    x = 63,543,318,084/122,232
  6. Step 6: Final answer
    x = 519,858.29

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.