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Finding the Third Proportional to 70,022 and 107,629

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Solution

The third proportional to 70,022 and 107,629 is: 165,433.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,022 : 107,629 = 107,629 : x
  2. Step 2: Convert to fraction form
    70,022/107,629 = 107,629/x
  3. Step 3: Cross multiply
    70,022x = 107,629 × 107,629
  4. Step 4: Simplify right side
    70,022x = 11,584,001,641
  5. Step 5: Solve for x
    x = 11,584,001,641/70,022
  6. Step 6: Final answer
    x = 165,433.74

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.