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Finding the Third Proportional to 48,441 and 108,222

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Solution

The third proportional to 48,441 and 108,222 is: 241,778.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,441 : 108,222 = 108,222 : x
  2. Step 2: Convert to fraction form
    48,441/108,222 = 108,222/x
  3. Step 3: Cross multiply
    48,441x = 108,222 × 108,222
  4. Step 4: Simplify right side
    48,441x = 11,712,001,284
  5. Step 5: Solve for x
    x = 11,712,001,284/48,441
  6. Step 6: Final answer
    x = 241,778.69

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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.