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Finding the Third Proportional to 71,110 and 164,623

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Solution

The third proportional to 71,110 and 164,623 is: 381,110.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,110 : 164,623 = 164,623 : x
  2. Step 2: Convert to fraction form
    71,110/164,623 = 164,623/x
  3. Step 3: Cross multiply
    71,110x = 164,623 × 164,623
  4. Step 4: Simplify right side
    71,110x = 27,100,732,129
  5. Step 5: Solve for x
    x = 27,100,732,129/71,110
  6. Step 6: Final answer
    x = 381,110.00

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.