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Finding the Third Proportional to 84,066 and 126,747

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Solution

The third proportional to 84,066 and 126,747 is: 191,097.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,066 : 126,747 = 126,747 : x
  2. Step 2: Convert to fraction form
    84,066/126,747 = 126,747/x
  3. Step 3: Cross multiply
    84,066x = 126,747 × 126,747
  4. Step 4: Simplify right side
    84,066x = 16,064,802,009
  5. Step 5: Solve for x
    x = 16,064,802,009/84,066
  6. Step 6: Final answer
    x = 191,097.49

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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.