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Finding the Third Proportional to 73,832 and 114,543

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Solution

The third proportional to 73,832 and 114,543 is: 177,702.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,832 : 114,543 = 114,543 : x
  2. Step 2: Convert to fraction form
    73,832/114,543 = 114,543/x
  3. Step 3: Cross multiply
    73,832x = 114,543 × 114,543
  4. Step 4: Simplify right side
    73,832x = 13,120,098,849
  5. Step 5: Solve for x
    x = 13,120,098,849/73,832
  6. Step 6: Final answer
    x = 177,702.06

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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.