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Finding the Third Proportional to 70,945.50 and 106,223

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Solution

The third proportional to 70,945.50 and 106,223 is: 159,042.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,945.50 : 106,223 = 106,223 : x
  2. Step 2: Convert to fraction form
    70,945.50/106,223 = 106,223/x
  3. Step 3: Cross multiply
    70,945.50x = 106,223 × 106,223
  4. Step 4: Simplify right side
    70,945.50x = 11,283,325,729
  5. Step 5: Solve for x
    x = 11,283,325,729/70,945.50
  6. Step 6: Final answer
    x = 159,042.16

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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.