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Finding the Third Proportional to 31,240 and 70,322

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Solution

The third proportional to 31,240 and 70,322 is: 158,296.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,240 : 70,322 = 70,322 : x
  2. Step 2: Convert to fraction form
    31,240/70,322 = 70,322/x
  3. Step 3: Cross multiply
    31,240x = 70,322 × 70,322
  4. Step 4: Simplify right side
    31,240x = 4,945,183,684
  5. Step 5: Solve for x
    x = 4,945,183,684/31,240
  6. Step 6: Final answer
    x = 158,296.53

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Why These Related Problems?

These problems maintain the same ratio (2.25) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.