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Finding the Third Proportional to 73,536 and 110,304

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Solution

The third proportional to 73,536 and 110,304 is: 165,456

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,536 : 110,304 = 110,304 : x
  2. Step 2: Convert to fraction form
    73,536/110,304 = 110,304/x
  3. Step 3: Cross multiply
    73,536x = 110,304 × 110,304
  4. Step 4: Simplify right side
    73,536x = 12,166,972,416
  5. Step 5: Solve for x
    x = 12,166,972,416/73,536
  6. Step 6: Final answer
    x = 165,456

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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.