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Finding the Third Proportional to 48,417 and 104,481

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Solution

The third proportional to 48,417 and 104,481 is: 225,463.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,417 : 104,481 = 104,481 : x
  2. Step 2: Convert to fraction form
    48,417/104,481 = 104,481/x
  3. Step 3: Cross multiply
    48,417x = 104,481 × 104,481
  4. Step 4: Simplify right side
    48,417x = 10,916,279,361
  5. Step 5: Solve for x
    x = 10,916,279,361/48,417
  6. Step 6: Final answer
    x = 225,463.77

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.