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Finding the Third Proportional to 100,314 and 134,271

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Solution

The third proportional to 100,314 and 134,271 is: 179,722.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,314 : 134,271 = 134,271 : x
  2. Step 2: Convert to fraction form
    100,314/134,271 = 134,271/x
  3. Step 3: Cross multiply
    100,314x = 134,271 × 134,271
  4. Step 4: Simplify right side
    100,314x = 18,028,701,441
  5. Step 5: Solve for x
    x = 18,028,701,441/100,314
  6. Step 6: Final answer
    x = 179,722.69

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.