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Finding the Third Proportional to 70,410.38 and 106,212.94

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Solution

The third proportional to 70,410.38 and 106,212.94 is: 160,220.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,410.38 : 106,212.94 = 106,212.94 : x
  2. Step 2: Convert to fraction form
    70,410.38/106,212.94 = 106,212.94/x
  3. Step 3: Cross multiply
    70,410.38x = 106,212.94 × 106,212.94
  4. Step 4: Simplify right side
    70,410.38x = 11,281,188,092.38
  5. Step 5: Solve for x
    x = 11,281,188,092.38/70,410.38
  6. Step 6: Final answer
    x = 160,220.54

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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.