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Finding the Third Proportional to 48,448 and 108,230

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Solution

The third proportional to 48,448 and 108,230 is: 241,779.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,448 : 108,230 = 108,230 : x
  2. Step 2: Convert to fraction form
    48,448/108,230 = 108,230/x
  3. Step 3: Cross multiply
    48,448x = 108,230 × 108,230
  4. Step 4: Simplify right side
    48,448x = 11,713,732,900
  5. Step 5: Solve for x
    x = 11,713,732,900/48,448
  6. Step 6: Final answer
    x = 241,779.49

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.