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Finding the Third Proportional to 57,762 and 124,236

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Solution

The third proportional to 57,762 and 124,236 is: 267,209.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,762 : 124,236 = 124,236 : x
  2. Step 2: Convert to fraction form
    57,762/124,236 = 124,236/x
  3. Step 3: Cross multiply
    57,762x = 124,236 × 124,236
  4. Step 4: Simplify right side
    57,762x = 15,434,583,696
  5. Step 5: Solve for x
    x = 15,434,583,696/57,762
  6. Step 6: Final answer
    x = 267,209.99

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.