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Finding the Third Proportional to 84,724 and 126,674

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Solution

The third proportional to 84,724 and 126,674 is: 189,395.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,724 : 126,674 = 126,674 : x
  2. Step 2: Convert to fraction form
    84,724/126,674 = 126,674/x
  3. Step 3: Cross multiply
    84,724x = 126,674 × 126,674
  4. Step 4: Simplify right side
    84,724x = 16,046,302,276
  5. Step 5: Solve for x
    x = 16,046,302,276/84,724
  6. Step 6: Final answer
    x = 189,395.00

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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.