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Finding the Third Proportional to 52,673 and 111,543

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Solution

The third proportional to 52,673 and 111,543 is: 236,209.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,673 : 111,543 = 111,543 : x
  2. Step 2: Convert to fraction form
    52,673/111,543 = 111,543/x
  3. Step 3: Cross multiply
    52,673x = 111,543 × 111,543
  4. Step 4: Simplify right side
    52,673x = 12,441,840,849
  5. Step 5: Solve for x
    x = 12,441,840,849/52,673
  6. Step 6: Final answer
    x = 236,209.08

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.