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Finding the Third Proportional to 75,786 and 159,186

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Solution

The third proportional to 75,786 and 159,186 is: 334,364.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,786 : 159,186 = 159,186 : x
  2. Step 2: Convert to fraction form
    75,786/159,186 = 159,186/x
  3. Step 3: Cross multiply
    75,786x = 159,186 × 159,186
  4. Step 4: Simplify right side
    75,786x = 25,340,182,596
  5. Step 5: Solve for x
    x = 25,340,182,596/75,786
  6. Step 6: Final answer
    x = 334,364.96

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.