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Finding the Third Proportional to 48,842 and 104,008

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Solution

The third proportional to 48,842 and 104,008 is: 221,482.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,842 : 104,008 = 104,008 : x
  2. Step 2: Convert to fraction form
    48,842/104,008 = 104,008/x
  3. Step 3: Cross multiply
    48,842x = 104,008 × 104,008
  4. Step 4: Simplify right side
    48,842x = 10,817,664,064
  5. Step 5: Solve for x
    x = 10,817,664,064/48,842
  6. Step 6: Final answer
    x = 221,482.82

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.