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Finding the Third Proportional to 57,056 and 82,184

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Solution

The third proportional to 57,056 and 82,184 is: 118,378.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,056 : 82,184 = 82,184 : x
  2. Step 2: Convert to fraction form
    57,056/82,184 = 82,184/x
  3. Step 3: Cross multiply
    57,056x = 82,184 × 82,184
  4. Step 4: Simplify right side
    57,056x = 6,754,209,856
  5. Step 5: Solve for x
    x = 6,754,209,856/57,056
  6. Step 6: Final answer
    x = 118,378.61

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.