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Finding the Third Proportional to 63,875 and 131,850

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Solution

The third proportional to 63,875 and 131,850 is: 272,163.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,875 : 131,850 = 131,850 : x
  2. Step 2: Convert to fraction form
    63,875/131,850 = 131,850/x
  3. Step 3: Cross multiply
    63,875x = 131,850 × 131,850
  4. Step 4: Simplify right side
    63,875x = 17,384,422,500
  5. Step 5: Solve for x
    x = 17,384,422,500/63,875
  6. Step 6: Final answer
    x = 272,163.17

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.