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Finding the Third Proportional to 60,094 and 94,267

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Solution

The third proportional to 60,094 and 94,267 is: 147,872.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,094 : 94,267 = 94,267 : x
  2. Step 2: Convert to fraction form
    60,094/94,267 = 94,267/x
  3. Step 3: Cross multiply
    60,094x = 94,267 × 94,267
  4. Step 4: Simplify right side
    60,094x = 8,886,267,289
  5. Step 5: Solve for x
    x = 8,886,267,289/60,094
  6. Step 6: Final answer
    x = 147,872.79

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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.