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Finding the Third Proportional to 48,632 and 76,188

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Solution

The third proportional to 48,632 and 76,188 is: 119,357.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,632 : 76,188 = 76,188 : x
  2. Step 2: Convert to fraction form
    48,632/76,188 = 76,188/x
  3. Step 3: Cross multiply
    48,632x = 76,188 × 76,188
  4. Step 4: Simplify right side
    48,632x = 5,804,611,344
  5. Step 5: Solve for x
    x = 5,804,611,344/48,632
  6. Step 6: Final answer
    x = 119,357.86

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.