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Finding the Third Proportional to 48,231 and 104,511

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Solution

The third proportional to 48,231 and 104,511 is: 226,463.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,231 : 104,511 = 104,511 : x
  2. Step 2: Convert to fraction form
    48,231/104,511 = 104,511/x
  3. Step 3: Cross multiply
    48,231x = 104,511 × 104,511
  4. Step 4: Simplify right side
    48,231x = 10,922,549,121
  5. Step 5: Solve for x
    x = 10,922,549,121/48,231
  6. Step 6: Final answer
    x = 226,463.25

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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.