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Finding the Third Proportional to 56,481 and 124,488

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Solution

The third proportional to 56,481 and 124,488 is: 274,380.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,481 : 124,488 = 124,488 : x
  2. Step 2: Convert to fraction form
    56,481/124,488 = 124,488/x
  3. Step 3: Cross multiply
    56,481x = 124,488 × 124,488
  4. Step 4: Simplify right side
    56,481x = 15,497,262,144
  5. Step 5: Solve for x
    x = 15,497,262,144/56,481
  6. Step 6: Final answer
    x = 274,380.09

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.