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Finding the Third Proportional to 136,816 and 205,624

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Solution

The third proportional to 136,816 and 205,624 is: 309,037.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,816 : 205,624 = 205,624 : x
  2. Step 2: Convert to fraction form
    136,816/205,624 = 205,624/x
  3. Step 3: Cross multiply
    136,816x = 205,624 × 205,624
  4. Step 4: Simplify right side
    136,816x = 42,281,229,376
  5. Step 5: Solve for x
    x = 42,281,229,376/136,816
  6. Step 6: Final answer
    x = 309,037.17

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.