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Finding the Third Proportional to 73,404 and 110,271

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Solution

The third proportional to 73,404 and 110,271 is: 165,654.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,404 : 110,271 = 110,271 : x
  2. Step 2: Convert to fraction form
    73,404/110,271 = 110,271/x
  3. Step 3: Cross multiply
    73,404x = 110,271 × 110,271
  4. Step 4: Simplify right side
    73,404x = 12,159,693,441
  5. Step 5: Solve for x
    x = 12,159,693,441/73,404
  6. Step 6: Final answer
    x = 165,654.37

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.