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Finding the Third Proportional to 103,802 and 155,162

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Solution

The third proportional to 103,802 and 155,162 is: 231,934.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,802 : 155,162 = 155,162 : x
  2. Step 2: Convert to fraction form
    103,802/155,162 = 155,162/x
  3. Step 3: Cross multiply
    103,802x = 155,162 × 155,162
  4. Step 4: Simplify right side
    103,802x = 24,075,246,244
  5. Step 5: Solve for x
    x = 24,075,246,244/103,802
  6. Step 6: Final answer
    x = 231,934.32

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.