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Finding the Third Proportional to 122,234 and 252,082

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Solution

The third proportional to 122,234 and 252,082 is: 519,866.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,234 : 252,082 = 252,082 : x
  2. Step 2: Convert to fraction form
    122,234/252,082 = 252,082/x
  3. Step 3: Cross multiply
    122,234x = 252,082 × 252,082
  4. Step 4: Simplify right side
    122,234x = 63,545,334,724
  5. Step 5: Solve for x
    x = 63,545,334,724/122,234
  6. Step 6: Final answer
    x = 519,866.28

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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.