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Finding the Third Proportional to 95,662 and 208,548

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Solution

The third proportional to 95,662 and 208,548 is: 454,645.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,662 : 208,548 = 208,548 : x
  2. Step 2: Convert to fraction form
    95,662/208,548 = 208,548/x
  3. Step 3: Cross multiply
    95,662x = 208,548 × 208,548
  4. Step 4: Simplify right side
    95,662x = 43,492,268,304
  5. Step 5: Solve for x
    x = 43,492,268,304/95,662
  6. Step 6: Final answer
    x = 454,645.19

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.