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Finding the Third Proportional to 77,004 and 165,624

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Solution

The third proportional to 77,004 and 165,624 is: 356,232.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,004 : 165,624 = 165,624 : x
  2. Step 2: Convert to fraction form
    77,004/165,624 = 165,624/x
  3. Step 3: Cross multiply
    77,004x = 165,624 × 165,624
  4. Step 4: Simplify right side
    77,004x = 27,431,309,376
  5. Step 5: Solve for x
    x = 27,431,309,376/77,004
  6. Step 6: Final answer
    x = 356,232.27

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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.