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Finding the Third Proportional to 84,110 and 182,619

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Solution

The third proportional to 84,110 and 182,619 is: 396,501.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,110 : 182,619 = 182,619 : x
  2. Step 2: Convert to fraction form
    84,110/182,619 = 182,619/x
  3. Step 3: Cross multiply
    84,110x = 182,619 × 182,619
  4. Step 4: Simplify right side
    84,110x = 33,349,699,161
  5. Step 5: Solve for x
    x = 33,349,699,161/84,110
  6. Step 6: Final answer
    x = 396,501.00

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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.