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Finding the Third Proportional to 94,776 and 186,879

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Solution

The third proportional to 94,776 and 186,879 is: 368,487.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,776 : 186,879 = 186,879 : x
  2. Step 2: Convert to fraction form
    94,776/186,879 = 186,879/x
  3. Step 3: Cross multiply
    94,776x = 186,879 × 186,879
  4. Step 4: Simplify right side
    94,776x = 34,923,760,641
  5. Step 5: Solve for x
    x = 34,923,760,641/94,776
  6. Step 6: Final answer
    x = 368,487.39

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Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.