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Finding the Third Proportional to 45,327 and 98,187

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Solution

The third proportional to 45,327 and 98,187 is: 212,691.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,327 : 98,187 = 98,187 : x
  2. Step 2: Convert to fraction form
    45,327/98,187 = 98,187/x
  3. Step 3: Cross multiply
    45,327x = 98,187 × 98,187
  4. Step 4: Simplify right side
    45,327x = 9,640,686,969
  5. Step 5: Solve for x
    x = 9,640,686,969/45,327
  6. Step 6: Final answer
    x = 212,691.93

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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.