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Finding the Third Proportional to 57,320 and 125,683

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Solution

The third proportional to 57,320 and 125,683 is: 275,579.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,320 : 125,683 = 125,683 : x
  2. Step 2: Convert to fraction form
    57,320/125,683 = 125,683/x
  3. Step 3: Cross multiply
    57,320x = 125,683 × 125,683
  4. Step 4: Simplify right side
    57,320x = 15,796,216,489
  5. Step 5: Solve for x
    x = 15,796,216,489/57,320
  6. Step 6: Final answer
    x = 275,579.49

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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.