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Finding the Third Proportional to 72,636 and 112,238

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Solution

The third proportional to 72,636 and 112,238 is: 173,431.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,636 : 112,238 = 112,238 : x
  2. Step 2: Convert to fraction form
    72,636/112,238 = 112,238/x
  3. Step 3: Cross multiply
    72,636x = 112,238 × 112,238
  4. Step 4: Simplify right side
    72,636x = 12,597,368,644
  5. Step 5: Solve for x
    x = 12,597,368,644/72,636
  6. Step 6: Final answer
    x = 173,431.48

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.