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Finding the Third Proportional to 57,518 and 123,033

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Solution

The third proportional to 57,518 and 123,033 is: 263,171.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,518 : 123,033 = 123,033 : x
  2. Step 2: Convert to fraction form
    57,518/123,033 = 123,033/x
  3. Step 3: Cross multiply
    57,518x = 123,033 × 123,033
  4. Step 4: Simplify right side
    57,518x = 15,137,119,089
  5. Step 5: Solve for x
    x = 15,137,119,089/57,518
  6. Step 6: Final answer
    x = 263,171.86

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.