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Finding the Third Proportional to 57,251.18 and 122,111.30

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Solution

The third proportional to 57,251.18 and 122,111.30 is: 260,451.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,251.18 : 122,111.30 = 122,111.30 : x
  2. Step 2: Convert to fraction form
    57,251.18/122,111.30 = 122,111.30/x
  3. Step 3: Cross multiply
    57,251.18x = 122,111.30 × 122,111.30
  4. Step 4: Simplify right side
    57,251.18x = 14,911,168,824.49
  5. Step 5: Solve for x
    x = 14,911,168,824.49/57,251.18
  6. Step 6: Final answer
    x = 260,451.73

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.