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Finding the Third Proportional to 57,336 and 125,688

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Solution

The third proportional to 57,336 and 125,688 is: 275,524.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,336 : 125,688 = 125,688 : x
  2. Step 2: Convert to fraction form
    57,336/125,688 = 125,688/x
  3. Step 3: Cross multiply
    57,336x = 125,688 × 125,688
  4. Step 4: Simplify right side
    57,336x = 15,797,473,344
  5. Step 5: Solve for x
    x = 15,797,473,344/57,336
  6. Step 6: Final answer
    x = 275,524.51

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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.