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Finding the Third Proportional to 60,646 and 92,192

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Solution

The third proportional to 60,646 and 92,192 is: 140,147.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,646 : 92,192 = 92,192 : x
  2. Step 2: Convert to fraction form
    60,646/92,192 = 92,192/x
  3. Step 3: Cross multiply
    60,646x = 92,192 × 92,192
  4. Step 4: Simplify right side
    60,646x = 8,499,364,864
  5. Step 5: Solve for x
    x = 8,499,364,864/60,646
  6. Step 6: Final answer
    x = 140,147.16

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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.