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Finding the Third Proportional to 48,284 and 104,882

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Solution

The third proportional to 48,284 and 104,882 is: 227,823.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,284 : 104,882 = 104,882 : x
  2. Step 2: Convert to fraction form
    48,284/104,882 = 104,882/x
  3. Step 3: Cross multiply
    48,284x = 104,882 × 104,882
  4. Step 4: Simplify right side
    48,284x = 11,000,233,924
  5. Step 5: Solve for x
    x = 11,000,233,924/48,284
  6. Step 6: Final answer
    x = 227,823.58

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.