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Finding the Third Proportional to 77,995 and 159,686

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Solution

The third proportional to 77,995 and 159,686 is: 326,939.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,995 : 159,686 = 159,686 : x
  2. Step 2: Convert to fraction form
    77,995/159,686 = 159,686/x
  3. Step 3: Cross multiply
    77,995x = 159,686 × 159,686
  4. Step 4: Simplify right side
    77,995x = 25,499,618,596
  5. Step 5: Solve for x
    x = 25,499,618,596/77,995
  6. Step 6: Final answer
    x = 326,939.14

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.