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Finding the Third Proportional to 62,230 and 146,279

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Solution

The third proportional to 62,230 and 146,279 is: 343,846.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,230 : 146,279 = 146,279 : x
  2. Step 2: Convert to fraction form
    62,230/146,279 = 146,279/x
  3. Step 3: Cross multiply
    62,230x = 146,279 × 146,279
  4. Step 4: Simplify right side
    62,230x = 21,397,545,841
  5. Step 5: Solve for x
    x = 21,397,545,841/62,230
  6. Step 6: Final answer
    x = 343,846.15

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.