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Finding the Third Proportional to 89,268 and 118,471

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Solution

The third proportional to 89,268 and 118,471 is: 157,227.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,268 : 118,471 = 118,471 : x
  2. Step 2: Convert to fraction form
    89,268/118,471 = 118,471/x
  3. Step 3: Cross multiply
    89,268x = 118,471 × 118,471
  4. Step 4: Simplify right side
    89,268x = 14,035,377,841
  5. Step 5: Solve for x
    x = 14,035,377,841/89,268
  6. Step 6: Final answer
    x = 157,227.43

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.