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Finding the Third Proportional to 41,348 and 87,368

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Solution

The third proportional to 41,348 and 87,368 is: 184,607.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,348 : 87,368 = 87,368 : x
  2. Step 2: Convert to fraction form
    41,348/87,368 = 87,368/x
  3. Step 3: Cross multiply
    41,348x = 87,368 × 87,368
  4. Step 4: Simplify right side
    41,348x = 7,633,167,424
  5. Step 5: Solve for x
    x = 7,633,167,424/41,348
  6. Step 6: Final answer
    x = 184,607.90

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.