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Finding the Third Proportional to 70,227 and 106,785

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Solution

The third proportional to 70,227 and 106,785 is: 162,373.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,227 : 106,785 = 106,785 : x
  2. Step 2: Convert to fraction form
    70,227/106,785 = 106,785/x
  3. Step 3: Cross multiply
    70,227x = 106,785 × 106,785
  4. Step 4: Simplify right side
    70,227x = 11,403,036,225
  5. Step 5: Solve for x
    x = 11,403,036,225/70,227
  6. Step 6: Final answer
    x = 162,373.96

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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.