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Finding the Third Proportional to 48,896 and 107,142

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Solution

The third proportional to 48,896 and 107,142 is: 234,771.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,896 : 107,142 = 107,142 : x
  2. Step 2: Convert to fraction form
    48,896/107,142 = 107,142/x
  3. Step 3: Cross multiply
    48,896x = 107,142 × 107,142
  4. Step 4: Simplify right side
    48,896x = 11,479,408,164
  5. Step 5: Solve for x
    x = 11,479,408,164/48,896
  6. Step 6: Final answer
    x = 234,771.93

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.