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Finding the Third Proportional to 50,064 and 107,888

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Solution

The third proportional to 50,064 and 107,888 is: 232,498.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,064 : 107,888 = 107,888 : x
  2. Step 2: Convert to fraction form
    50,064/107,888 = 107,888/x
  3. Step 3: Cross multiply
    50,064x = 107,888 × 107,888
  4. Step 4: Simplify right side
    50,064x = 11,639,820,544
  5. Step 5: Solve for x
    x = 11,639,820,544/50,064
  6. Step 6: Final answer
    x = 232,498.81

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.