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Finding the Third Proportional to 44,186 and 92,932

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Solution

The third proportional to 44,186 and 92,932 is: 195,454.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,186 : 92,932 = 92,932 : x
  2. Step 2: Convert to fraction form
    44,186/92,932 = 92,932/x
  3. Step 3: Cross multiply
    44,186x = 92,932 × 92,932
  4. Step 4: Simplify right side
    44,186x = 8,636,356,624
  5. Step 5: Solve for x
    x = 8,636,356,624/44,186
  6. Step 6: Final answer
    x = 195,454.59

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.