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Finding the Third Proportional to 75,754 and 164,612

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Solution

The third proportional to 75,754 and 164,612 is: 357,698.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,754 : 164,612 = 164,612 : x
  2. Step 2: Convert to fraction form
    75,754/164,612 = 164,612/x
  3. Step 3: Cross multiply
    75,754x = 164,612 × 164,612
  4. Step 4: Simplify right side
    75,754x = 27,097,110,544
  5. Step 5: Solve for x
    x = 27,097,110,544/75,754
  6. Step 6: Final answer
    x = 357,698.74

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.