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Finding the Third Proportional to 57,603 and 119,205

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Solution

The third proportional to 57,603 and 119,205 is: 246,685.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,603 : 119,205 = 119,205 : x
  2. Step 2: Convert to fraction form
    57,603/119,205 = 119,205/x
  3. Step 3: Cross multiply
    57,603x = 119,205 × 119,205
  4. Step 4: Simplify right side
    57,603x = 14,209,832,025
  5. Step 5: Solve for x
    x = 14,209,832,025/57,603
  6. Step 6: Final answer
    x = 246,685.62

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.