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Finding the Third Proportional to 84,112 and 126,526

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Solution

The third proportional to 84,112 and 126,526 is: 190,327.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,112 : 126,526 = 126,526 : x
  2. Step 2: Convert to fraction form
    84,112/126,526 = 126,526/x
  3. Step 3: Cross multiply
    84,112x = 126,526 × 126,526
  4. Step 4: Simplify right side
    84,112x = 16,008,828,676
  5. Step 5: Solve for x
    x = 16,008,828,676/84,112
  6. Step 6: Final answer
    x = 190,327.52

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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.