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Finding the Third Proportional to 134,107 and 289,992.75

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Solution

The third proportional to 134,107 and 289,992.75 is: 627,079.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,107 : 289,992.75 = 289,992.75 : x
  2. Step 2: Convert to fraction form
    134,107/289,992.75 = 289,992.75/x
  3. Step 3: Cross multiply
    134,107x = 289,992.75 × 289,992.75
  4. Step 4: Simplify right side
    134,107x = 84,095,795,052.56
  5. Step 5: Solve for x
    x = 84,095,795,052.56/134,107
  6. Step 6: Final answer
    x = 627,079.83

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.