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Finding the Third Proportional to 66,164 and 156,058

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Solution

The third proportional to 66,164 and 156,058 is: 368,086.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,164 : 156,058 = 156,058 : x
  2. Step 2: Convert to fraction form
    66,164/156,058 = 156,058/x
  3. Step 3: Cross multiply
    66,164x = 156,058 × 156,058
  4. Step 4: Simplify right side
    66,164x = 24,354,099,364
  5. Step 5: Solve for x
    x = 24,354,099,364/66,164
  6. Step 6: Final answer
    x = 368,086.87

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.