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Finding the Third Proportional to 70,944 and 105,801

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Solution

The third proportional to 70,944 and 105,801 is: 157,784.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,944 : 105,801 = 105,801 : x
  2. Step 2: Convert to fraction form
    70,944/105,801 = 105,801/x
  3. Step 3: Cross multiply
    70,944x = 105,801 × 105,801
  4. Step 4: Simplify right side
    70,944x = 11,193,851,601
  5. Step 5: Solve for x
    x = 11,193,851,601/70,944
  6. Step 6: Final answer
    x = 157,784.33

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.