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Finding the Third Proportional to 47,182 and 72,412

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Solution

The third proportional to 47,182 and 72,412 is: 111,133.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,182 : 72,412 = 72,412 : x
  2. Step 2: Convert to fraction form
    47,182/72,412 = 72,412/x
  3. Step 3: Cross multiply
    47,182x = 72,412 × 72,412
  4. Step 4: Simplify right side
    47,182x = 5,243,497,744
  5. Step 5: Solve for x
    x = 5,243,497,744/47,182
  6. Step 6: Final answer
    x = 111,133.44

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.