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Finding the Third Proportional to 48,855 and 107,061

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Solution

The third proportional to 48,855 and 107,061 is: 234,613.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,855 : 107,061 = 107,061 : x
  2. Step 2: Convert to fraction form
    48,855/107,061 = 107,061/x
  3. Step 3: Cross multiply
    48,855x = 107,061 × 107,061
  4. Step 4: Simplify right side
    48,855x = 11,462,057,721
  5. Step 5: Solve for x
    x = 11,462,057,721/48,855
  6. Step 6: Final answer
    x = 234,613.81

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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.