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Finding the Third Proportional to 66,076 and 94,193

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Solution

The third proportional to 66,076 and 94,193 is: 134,274.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,076 : 94,193 = 94,193 : x
  2. Step 2: Convert to fraction form
    66,076/94,193 = 94,193/x
  3. Step 3: Cross multiply
    66,076x = 94,193 × 94,193
  4. Step 4: Simplify right side
    66,076x = 8,872,321,249
  5. Step 5: Solve for x
    x = 8,872,321,249/66,076
  6. Step 6: Final answer
    x = 134,274.49

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.