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Finding the Third Proportional to 48,231 and 100,158

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Solution

The third proportional to 48,231 and 100,158 is: 207,991.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,231 : 100,158 = 100,158 : x
  2. Step 2: Convert to fraction form
    48,231/100,158 = 100,158/x
  3. Step 3: Cross multiply
    48,231x = 100,158 × 100,158
  4. Step 4: Simplify right side
    48,231x = 10,031,624,964
  5. Step 5: Solve for x
    x = 10,031,624,964/48,231
  6. Step 6: Final answer
    x = 207,991.23

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.