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Finding the Third Proportional to 103,971 and 202,686

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Solution

The third proportional to 103,971 and 202,686 is: 395,125.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,971 : 202,686 = 202,686 : x
  2. Step 2: Convert to fraction form
    103,971/202,686 = 202,686/x
  3. Step 3: Cross multiply
    103,971x = 202,686 × 202,686
  4. Step 4: Simplify right side
    103,971x = 41,081,614,596
  5. Step 5: Solve for x
    x = 41,081,614,596/103,971
  6. Step 6: Final answer
    x = 395,125.70

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.