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Finding the Third Proportional to 77,008 and 165,476

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Solution

The third proportional to 77,008 and 165,476 is: 355,577.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,008 : 165,476 = 165,476 : x
  2. Step 2: Convert to fraction form
    77,008/165,476 = 165,476/x
  3. Step 3: Cross multiply
    77,008x = 165,476 × 165,476
  4. Step 4: Simplify right side
    77,008x = 27,382,306,576
  5. Step 5: Solve for x
    x = 27,382,306,576/77,008
  6. Step 6: Final answer
    x = 355,577.43

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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.