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Finding the Third Proportional to 70,868 and 106,126

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Solution

The third proportional to 70,868 and 106,126 is: 158,925.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,868 : 106,126 = 106,126 : x
  2. Step 2: Convert to fraction form
    70,868/106,126 = 106,126/x
  3. Step 3: Cross multiply
    70,868x = 106,126 × 106,126
  4. Step 4: Simplify right side
    70,868x = 11,262,727,876
  5. Step 5: Solve for x
    x = 11,262,727,876/70,868
  6. Step 6: Final answer
    x = 158,925.44

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.