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Finding the Third Proportional to 49,902 and 107,717

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Solution

The third proportional to 49,902 and 107,717 is: 232,514.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,902 : 107,717 = 107,717 : x
  2. Step 2: Convert to fraction form
    49,902/107,717 = 107,717/x
  3. Step 3: Cross multiply
    49,902x = 107,717 × 107,717
  4. Step 4: Simplify right side
    49,902x = 11,602,952,089
  5. Step 5: Solve for x
    x = 11,602,952,089/49,902
  6. Step 6: Final answer
    x = 232,514.77

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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.