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Finding the Third Proportional to 70,038 and 106,110

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Solution

The third proportional to 70,038 and 106,110 is: 160,760.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,038 : 106,110 = 106,110 : x
  2. Step 2: Convert to fraction form
    70,038/106,110 = 106,110/x
  3. Step 3: Cross multiply
    70,038x = 106,110 × 106,110
  4. Step 4: Simplify right side
    70,038x = 11,259,332,100
  5. Step 5: Solve for x
    x = 11,259,332,100/70,038
  6. Step 6: Final answer
    x = 160,760.33

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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.