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Finding the Third Proportional to 31,626 and 70,253

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Solution

The third proportional to 31,626 and 70,253 is: 156,057.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,626 : 70,253 = 70,253 : x
  2. Step 2: Convert to fraction form
    31,626/70,253 = 70,253/x
  3. Step 3: Cross multiply
    31,626x = 70,253 × 70,253
  4. Step 4: Simplify right side
    31,626x = 4,935,484,009
  5. Step 5: Solve for x
    x = 4,935,484,009/31,626
  6. Step 6: Final answer
    x = 156,057.80

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.