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Finding the Third Proportional to 40,243 and 60,151

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Solution

The third proportional to 40,243 and 60,151 is: 89,907.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,243 : 60,151 = 60,151 : x
  2. Step 2: Convert to fraction form
    40,243/60,151 = 60,151/x
  3. Step 3: Cross multiply
    40,243x = 60,151 × 60,151
  4. Step 4: Simplify right side
    40,243x = 3,618,142,801
  5. Step 5: Solve for x
    x = 3,618,142,801/40,243
  6. Step 6: Final answer
    x = 89,907.38

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.