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Finding the Third Proportional to 60,055 and 94,206

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Solution

The third proportional to 60,055 and 94,206 is: 147,777.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,055 : 94,206 = 94,206 : x
  2. Step 2: Convert to fraction form
    60,055/94,206 = 94,206/x
  3. Step 3: Cross multiply
    60,055x = 94,206 × 94,206
  4. Step 4: Simplify right side
    60,055x = 8,874,770,436
  5. Step 5: Solve for x
    x = 8,874,770,436/60,055
  6. Step 6: Final answer
    x = 147,777.38

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.