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Finding the Third Proportional to 77,364 and 164,044

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Solution

The third proportional to 77,364 and 164,044 is: 347,841.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,364 : 164,044 = 164,044 : x
  2. Step 2: Convert to fraction form
    77,364/164,044 = 164,044/x
  3. Step 3: Cross multiply
    77,364x = 164,044 × 164,044
  4. Step 4: Simplify right side
    77,364x = 26,910,433,936
  5. Step 5: Solve for x
    x = 26,910,433,936/77,364
  6. Step 6: Final answer
    x = 347,841.81

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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.