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Finding the Third Proportional to 48,888 and 107,116

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Solution

The third proportional to 48,888 and 107,116 is: 234,696.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,888 : 107,116 = 107,116 : x
  2. Step 2: Convert to fraction form
    48,888/107,116 = 107,116/x
  3. Step 3: Cross multiply
    48,888x = 107,116 × 107,116
  4. Step 4: Simplify right side
    48,888x = 11,473,837,456
  5. Step 5: Solve for x
    x = 11,473,837,456/48,888
  6. Step 6: Final answer
    x = 234,696.40

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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.