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Finding the Third Proportional to 48,898 and 107,128.75

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Solution

The third proportional to 48,898 and 107,128.75 is: 234,704.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,898 : 107,128.75 = 107,128.75 : x
  2. Step 2: Convert to fraction form
    48,898/107,128.75 = 107,128.75/x
  3. Step 3: Cross multiply
    48,898x = 107,128.75 × 107,128.75
  4. Step 4: Simplify right side
    48,898x = 11,476,569,076.56
  5. Step 5: Solve for x
    x = 11,476,569,076.56/48,898
  6. Step 6: Final answer
    x = 234,704.26

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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.