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Finding the Third Proportional to 48,578 and 107,140

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Solution

The third proportional to 48,578 and 107,140 is: 236,299.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,578 : 107,140 = 107,140 : x
  2. Step 2: Convert to fraction form
    48,578/107,140 = 107,140/x
  3. Step 3: Cross multiply
    48,578x = 107,140 × 107,140
  4. Step 4: Simplify right side
    48,578x = 11,478,979,600
  5. Step 5: Solve for x
    x = 11,478,979,600/48,578
  6. Step 6: Final answer
    x = 236,299.96

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.