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Finding the Third Proportional to 57,444 and 82,236

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Solution

The third proportional to 57,444 and 82,236 is: 117,727.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,444 : 82,236 = 82,236 : x
  2. Step 2: Convert to fraction form
    57,444/82,236 = 82,236/x
  3. Step 3: Cross multiply
    57,444x = 82,236 × 82,236
  4. Step 4: Simplify right side
    57,444x = 6,762,759,696
  5. Step 5: Solve for x
    x = 6,762,759,696/57,444
  6. Step 6: Final answer
    x = 117,727.87

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.