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Finding the Third Proportional to 84,276 and 126,948

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Solution

The third proportional to 84,276 and 126,948 is: 191,226.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,276 : 126,948 = 126,948 : x
  2. Step 2: Convert to fraction form
    84,276/126,948 = 126,948/x
  3. Step 3: Cross multiply
    84,276x = 126,948 × 126,948
  4. Step 4: Simplify right side
    84,276x = 16,115,794,704
  5. Step 5: Solve for x
    x = 16,115,794,704/84,276
  6. Step 6: Final answer
    x = 191,226.38

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.