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Finding the Third Proportional to 38,426 and 84,142

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Solution

The third proportional to 38,426 and 84,142 is: 184,247.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,426 : 84,142 = 84,142 : x
  2. Step 2: Convert to fraction form
    38,426/84,142 = 84,142/x
  3. Step 3: Cross multiply
    38,426x = 84,142 × 84,142
  4. Step 4: Simplify right side
    38,426x = 7,079,876,164
  5. Step 5: Solve for x
    x = 7,079,876,164/38,426
  6. Step 6: Final answer
    x = 184,247.02

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.