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Finding the Third Proportional to 63,764 and 134,820

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Solution

The third proportional to 63,764 and 134,820 is: 285,057.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,764 : 134,820 = 134,820 : x
  2. Step 2: Convert to fraction form
    63,764/134,820 = 134,820/x
  3. Step 3: Cross multiply
    63,764x = 134,820 × 134,820
  4. Step 4: Simplify right side
    63,764x = 18,176,432,400
  5. Step 5: Solve for x
    x = 18,176,432,400/63,764
  6. Step 6: Final answer
    x = 285,057.91

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.