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Finding the Third Proportional to 48,158 and 71,823

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Solution

The third proportional to 48,158 and 71,823 is: 107,117.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,158 : 71,823 = 71,823 : x
  2. Step 2: Convert to fraction form
    48,158/71,823 = 71,823/x
  3. Step 3: Cross multiply
    48,158x = 71,823 × 71,823
  4. Step 4: Simplify right side
    48,158x = 5,158,543,329
  5. Step 5: Solve for x
    x = 5,158,543,329/48,158
  6. Step 6: Final answer
    x = 107,117.06

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.