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Finding the Third Proportional to 63,508 and 135,774

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Solution

The third proportional to 63,508 and 135,774 is: 290,271.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,508 : 135,774 = 135,774 : x
  2. Step 2: Convert to fraction form
    63,508/135,774 = 135,774/x
  3. Step 3: Cross multiply
    63,508x = 135,774 × 135,774
  4. Step 4: Simplify right side
    63,508x = 18,434,579,076
  5. Step 5: Solve for x
    x = 18,434,579,076/63,508
  6. Step 6: Final answer
    x = 290,271.76

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.