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Finding the Third Proportional to 48,014 and 104,692

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Solution

The third proportional to 48,014 and 104,692 is: 228,275.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,014 : 104,692 = 104,692 : x
  2. Step 2: Convert to fraction form
    48,014/104,692 = 104,692/x
  3. Step 3: Cross multiply
    48,014x = 104,692 × 104,692
  4. Step 4: Simplify right side
    48,014x = 10,960,414,864
  5. Step 5: Solve for x
    x = 10,960,414,864/48,014
  6. Step 6: Final answer
    x = 228,275.40

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.