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Finding the Third Proportional to 104,939 and 118,061

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Solution

The third proportional to 104,939 and 118,061 is: 132,823.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,939 : 118,061 = 118,061 : x
  2. Step 2: Convert to fraction form
    104,939/118,061 = 118,061/x
  3. Step 3: Cross multiply
    104,939x = 118,061 × 118,061
  4. Step 4: Simplify right side
    104,939x = 13,938,399,721
  5. Step 5: Solve for x
    x = 13,938,399,721/104,939
  6. Step 6: Final answer
    x = 132,823.83

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Why These Related Problems?

These problems maintain the same ratio (1.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.