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Finding the Third Proportional to 95,274 and 208,692

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Solution

The third proportional to 95,274 and 208,692 is: 457,127.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,274 : 208,692 = 208,692 : x
  2. Step 2: Convert to fraction form
    95,274/208,692 = 208,692/x
  3. Step 3: Cross multiply
    95,274x = 208,692 × 208,692
  4. Step 4: Simplify right side
    95,274x = 43,552,350,864
  5. Step 5: Solve for x
    x = 43,552,350,864/95,274
  6. Step 6: Final answer
    x = 457,127.35

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.