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Finding the Third Proportional to 63,754 and 132,756

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Solution

The third proportional to 63,754 and 132,756 is: 276,440.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,754 : 132,756 = 132,756 : x
  2. Step 2: Convert to fraction form
    63,754/132,756 = 132,756/x
  3. Step 3: Cross multiply
    63,754x = 132,756 × 132,756
  4. Step 4: Simplify right side
    63,754x = 17,624,155,536
  5. Step 5: Solve for x
    x = 17,624,155,536/63,754
  6. Step 6: Final answer
    x = 276,440.00

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.