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Finding the Third Proportional to 57,684 and 124,584

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Solution

The third proportional to 57,684 and 124,584 is: 269,072.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,684 : 124,584 = 124,584 : x
  2. Step 2: Convert to fraction form
    57,684/124,584 = 124,584/x
  3. Step 3: Cross multiply
    57,684x = 124,584 × 124,584
  4. Step 4: Simplify right side
    57,684x = 15,521,173,056
  5. Step 5: Solve for x
    x = 15,521,173,056/57,684
  6. Step 6: Final answer
    x = 269,072.41

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.