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Finding the Third Proportional to 57,476 and 82,284

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Solution

The third proportional to 57,476 and 82,284 is: 117,799.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,476 : 82,284 = 82,284 : x
  2. Step 2: Convert to fraction form
    57,476/82,284 = 82,284/x
  3. Step 3: Cross multiply
    57,476x = 82,284 × 82,284
  4. Step 4: Simplify right side
    57,476x = 6,770,656,656
  5. Step 5: Solve for x
    x = 6,770,656,656/57,476
  6. Step 6: Final answer
    x = 117,799.72

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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.