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Finding the Third Proportional to 77,733 and 164,808

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Solution

The third proportional to 77,733 and 164,808 is: 349,422.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,733 : 164,808 = 164,808 : x
  2. Step 2: Convert to fraction form
    77,733/164,808 = 164,808/x
  3. Step 3: Cross multiply
    77,733x = 164,808 × 164,808
  4. Step 4: Simplify right side
    77,733x = 27,161,676,864
  5. Step 5: Solve for x
    x = 27,161,676,864/77,733
  6. Step 6: Final answer
    x = 349,422.73

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.