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Finding the Third Proportional to 60,678 and 92,241

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Solution

The third proportional to 60,678 and 92,241 is: 140,222.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,678 : 92,241 = 92,241 : x
  2. Step 2: Convert to fraction form
    60,678/92,241 = 92,241/x
  3. Step 3: Cross multiply
    60,678x = 92,241 × 92,241
  4. Step 4: Simplify right side
    60,678x = 8,508,402,081
  5. Step 5: Solve for x
    x = 8,508,402,081/60,678
  6. Step 6: Final answer
    x = 140,222.19

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.