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Finding the Third Proportional to 52,672 and 111,541

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Solution

The third proportional to 52,672 and 111,541 is: 236,205.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,672 : 111,541 = 111,541 : x
  2. Step 2: Convert to fraction form
    52,672/111,541 = 111,541/x
  3. Step 3: Cross multiply
    52,672x = 111,541 × 111,541
  4. Step 4: Simplify right side
    52,672x = 12,441,394,681
  5. Step 5: Solve for x
    x = 12,441,394,681/52,672
  6. Step 6: Final answer
    x = 236,205.09

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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.