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Finding the Third Proportional to 57,329 and 118,707

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Solution

The third proportional to 57,329 and 118,707 is: 245,797.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,329 : 118,707 = 118,707 : x
  2. Step 2: Convert to fraction form
    57,329/118,707 = 118,707/x
  3. Step 3: Cross multiply
    57,329x = 118,707 × 118,707
  4. Step 4: Simplify right side
    57,329x = 14,091,351,849
  5. Step 5: Solve for x
    x = 14,091,351,849/57,329
  6. Step 6: Final answer
    x = 245,797.97

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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.