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Finding the Third Proportional to 48,678.50 and 104,890

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Solution

The third proportional to 48,678.50 and 104,890 is: 226,011.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,678.50 : 104,890 = 104,890 : x
  2. Step 2: Convert to fraction form
    48,678.50/104,890 = 104,890/x
  3. Step 3: Cross multiply
    48,678.50x = 104,890 × 104,890
  4. Step 4: Simplify right side
    48,678.50x = 11,001,912,100
  5. Step 5: Solve for x
    x = 11,001,912,100/48,678.50
  6. Step 6: Final answer
    x = 226,011.73

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.