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Finding the Third Proportional to 70,214 and 106,077

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Solution

The third proportional to 70,214 and 106,077 is: 160,257.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,214 : 106,077 = 106,077 : x
  2. Step 2: Convert to fraction form
    70,214/106,077 = 106,077/x
  3. Step 3: Cross multiply
    70,214x = 106,077 × 106,077
  4. Step 4: Simplify right side
    70,214x = 11,252,329,929
  5. Step 5: Solve for x
    x = 11,252,329,929/70,214
  6. Step 6: Final answer
    x = 160,257.64

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.