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Finding the Third Proportional to 62,514 and 147,479

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Solution

The third proportional to 62,514 and 147,479 is: 347,922.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,514 : 147,479 = 147,479 : x
  2. Step 2: Convert to fraction form
    62,514/147,479 = 147,479/x
  3. Step 3: Cross multiply
    62,514x = 147,479 × 147,479
  4. Step 4: Simplify right side
    62,514x = 21,750,055,441
  5. Step 5: Solve for x
    x = 21,750,055,441/62,514
  6. Step 6: Final answer
    x = 347,922.95

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.