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Finding the Third Proportional to 57,693.94 and 121,219.03

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Solution

The third proportional to 57,693.94 and 121,219.03 is: 254,689.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,693.94 : 121,219.03 = 121,219.03 : x
  2. Step 2: Convert to fraction form
    57,693.94/121,219.03 = 121,219.03/x
  3. Step 3: Cross multiply
    57,693.94x = 121,219.03 × 121,219.03
  4. Step 4: Simplify right side
    57,693.94x = 14,694,053,537.19
  5. Step 5: Solve for x
    x = 14,694,053,537.19/57,693.94
  6. Step 6: Final answer
    x = 254,689.73

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.