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Finding the Third Proportional to 57,284 and 125,584

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Solution

The third proportional to 57,284 and 125,584 is: 275,318.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,284 : 125,584 = 125,584 : x
  2. Step 2: Convert to fraction form
    57,284/125,584 = 125,584/x
  3. Step 3: Cross multiply
    57,284x = 125,584 × 125,584
  4. Step 4: Simplify right side
    57,284x = 15,771,341,056
  5. Step 5: Solve for x
    x = 15,771,341,056/57,284
  6. Step 6: Final answer
    x = 275,318.43

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.