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Finding the Third Proportional to 84,181 and 187,045

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Solution

The third proportional to 84,181 and 187,045 is: 415,602.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,181 : 187,045 = 187,045 : x
  2. Step 2: Convert to fraction form
    84,181/187,045 = 187,045/x
  3. Step 3: Cross multiply
    84,181x = 187,045 × 187,045
  4. Step 4: Simplify right side
    84,181x = 34,985,832,025
  5. Step 5: Solve for x
    x = 34,985,832,025/84,181
  6. Step 6: Final answer
    x = 415,602.48

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.