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Finding the Third Proportional to 73,584 and 110,376

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Solution

The third proportional to 73,584 and 110,376 is: 165,564

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,584 : 110,376 = 110,376 : x
  2. Step 2: Convert to fraction form
    73,584/110,376 = 110,376/x
  3. Step 3: Cross multiply
    73,584x = 110,376 × 110,376
  4. Step 4: Simplify right side
    73,584x = 12,182,861,376
  5. Step 5: Solve for x
    x = 12,182,861,376/73,584
  6. Step 6: Final answer
    x = 165,564

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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.