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Finding the Third Proportional to 85,071 and 126,777

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Solution

The third proportional to 85,071 and 126,777 is: 188,929.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,071 : 126,777 = 126,777 : x
  2. Step 2: Convert to fraction form
    85,071/126,777 = 126,777/x
  3. Step 3: Cross multiply
    85,071x = 126,777 × 126,777
  4. Step 4: Simplify right side
    85,071x = 16,072,407,729
  5. Step 5: Solve for x
    x = 16,072,407,729/85,071
  6. Step 6: Final answer
    x = 188,929.34

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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.