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Finding the Third Proportional to 85,274 and 187,468

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Solution

The third proportional to 85,274 and 187,468 is: 412,133.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,274 : 187,468 = 187,468 : x
  2. Step 2: Convert to fraction form
    85,274/187,468 = 187,468/x
  3. Step 3: Cross multiply
    85,274x = 187,468 × 187,468
  4. Step 4: Simplify right side
    85,274x = 35,144,251,024
  5. Step 5: Solve for x
    x = 35,144,251,024/85,274
  6. Step 6: Final answer
    x = 412,133.25

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.