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Finding the Third Proportional to 94,525 and 207,686

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Solution

The third proportional to 94,525 and 207,686 is: 456,318.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,525 : 207,686 = 207,686 : x
  2. Step 2: Convert to fraction form
    94,525/207,686 = 207,686/x
  3. Step 3: Cross multiply
    94,525x = 207,686 × 207,686
  4. Step 4: Simplify right side
    94,525x = 43,133,474,596
  5. Step 5: Solve for x
    x = 43,133,474,596/94,525
  6. Step 6: Final answer
    x = 456,318.17

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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.