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Finding the Third Proportional to 136,896 and 204,787

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Solution

The third proportional to 136,896 and 204,787 is: 306,347.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,896 : 204,787 = 204,787 : x
  2. Step 2: Convert to fraction form
    136,896/204,787 = 204,787/x
  3. Step 3: Cross multiply
    136,896x = 204,787 × 204,787
  4. Step 4: Simplify right side
    136,896x = 41,937,715,369
  5. Step 5: Solve for x
    x = 41,937,715,369/136,896
  6. Step 6: Final answer
    x = 306,347.27

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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.