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Finding the Third Proportional to 63,508 and 95,838

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Solution

The third proportional to 63,508 and 95,838 is: 144,626.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,508 : 95,838 = 95,838 : x
  2. Step 2: Convert to fraction form
    63,508/95,838 = 95,838/x
  3. Step 3: Cross multiply
    63,508x = 95,838 × 95,838
  4. Step 4: Simplify right side
    63,508x = 9,184,922,244
  5. Step 5: Solve for x
    x = 9,184,922,244/63,508
  6. Step 6: Final answer
    x = 144,626.22

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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.