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Finding the Third Proportional to 70,022 and 106,328

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Solution

The third proportional to 70,022 and 106,328 is: 161,458.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,022 : 106,328 = 106,328 : x
  2. Step 2: Convert to fraction form
    70,022/106,328 = 106,328/x
  3. Step 3: Cross multiply
    70,022x = 106,328 × 106,328
  4. Step 4: Simplify right side
    70,022x = 11,305,643,584
  5. Step 5: Solve for x
    x = 11,305,643,584/70,022
  6. Step 6: Final answer
    x = 161,458.45

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.