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Finding the Third Proportional to 73,945 and 114,711

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Solution

The third proportional to 73,945 and 114,711 is: 177,951.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,945 : 114,711 = 114,711 : x
  2. Step 2: Convert to fraction form
    73,945/114,711 = 114,711/x
  3. Step 3: Cross multiply
    73,945x = 114,711 × 114,711
  4. Step 4: Simplify right side
    73,945x = 13,158,613,521
  5. Step 5: Solve for x
    x = 13,158,613,521/73,945
  6. Step 6: Final answer
    x = 177,951.36

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.