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Finding the Third Proportional to 96,262 and 144,393

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Solution

The third proportional to 96,262 and 144,393 is: 216,589.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,262 : 144,393 = 144,393 : x
  2. Step 2: Convert to fraction form
    96,262/144,393 = 144,393/x
  3. Step 3: Cross multiply
    96,262x = 144,393 × 144,393
  4. Step 4: Simplify right side
    96,262x = 20,849,338,449
  5. Step 5: Solve for x
    x = 20,849,338,449/96,262
  6. Step 6: Final answer
    x = 216,589.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.