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Finding the Third Proportional to 39,657 and 86,226

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Solution

The third proportional to 39,657 and 86,226 is: 187,480.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,657 : 86,226 = 86,226 : x
  2. Step 2: Convert to fraction form
    39,657/86,226 = 86,226/x
  3. Step 3: Cross multiply
    39,657x = 86,226 × 86,226
  4. Step 4: Simplify right side
    39,657x = 7,434,923,076
  5. Step 5: Solve for x
    x = 7,434,923,076/39,657
  6. Step 6: Final answer
    x = 187,480.72

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.