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Finding the Third Proportional to 84,576 and 181,910

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Solution

The third proportional to 84,576 and 181,910 is: 391,260.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,576 : 181,910 = 181,910 : x
  2. Step 2: Convert to fraction form
    84,576/181,910 = 181,910/x
  3. Step 3: Cross multiply
    84,576x = 181,910 × 181,910
  4. Step 4: Simplify right side
    84,576x = 33,091,248,100
  5. Step 5: Solve for x
    x = 33,091,248,100/84,576
  6. Step 6: Final answer
    x = 391,260.50

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.