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Finding the Third Proportional to 48,206 and 74,188

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Solution

The third proportional to 48,206 and 74,188 is: 114,173.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,206 : 74,188 = 74,188 : x
  2. Step 2: Convert to fraction form
    48,206/74,188 = 74,188/x
  3. Step 3: Cross multiply
    48,206x = 74,188 × 74,188
  4. Step 4: Simplify right side
    48,206x = 5,503,859,344
  5. Step 5: Solve for x
    x = 5,503,859,344/48,206
  6. Step 6: Final answer
    x = 114,173.74

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.