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Finding the Third Proportional to 77,995 and 159,687

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Solution

The third proportional to 77,995 and 159,687 is: 326,943.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,995 : 159,687 = 159,687 : x
  2. Step 2: Convert to fraction form
    77,995/159,687 = 159,687/x
  3. Step 3: Cross multiply
    77,995x = 159,687 × 159,687
  4. Step 4: Simplify right side
    77,995x = 25,499,937,969
  5. Step 5: Solve for x
    x = 25,499,937,969/77,995
  6. Step 6: Final answer
    x = 326,943.24

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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.