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Finding the Third Proportional to 77,034 and 165,566

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Solution

The third proportional to 77,034 and 165,566 is: 355,844.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,034 : 165,566 = 165,566 : x
  2. Step 2: Convert to fraction form
    77,034/165,566 = 165,566/x
  3. Step 3: Cross multiply
    77,034x = 165,566 × 165,566
  4. Step 4: Simplify right side
    77,034x = 27,412,100,356
  5. Step 5: Solve for x
    x = 27,412,100,356/77,034
  6. Step 6: Final answer
    x = 355,844.18

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.