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Finding the Third Proportional to 57,600 and 82,368

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Solution

The third proportional to 57,600 and 82,368 is: 117,786.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,600 : 82,368 = 82,368 : x
  2. Step 2: Convert to fraction form
    57,600/82,368 = 82,368/x
  3. Step 3: Cross multiply
    57,600x = 82,368 × 82,368
  4. Step 4: Simplify right side
    57,600x = 6,784,487,424
  5. Step 5: Solve for x
    x = 6,784,487,424/57,600
  6. Step 6: Final answer
    x = 117,786.24

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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.