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Finding the Third Proportional to 57,292 and 88,530

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Solution

The third proportional to 57,292 and 88,530 is: 136,800.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,292 : 88,530 = 88,530 : x
  2. Step 2: Convert to fraction form
    57,292/88,530 = 88,530/x
  3. Step 3: Cross multiply
    57,292x = 88,530 × 88,530
  4. Step 4: Simplify right side
    57,292x = 7,837,560,900
  5. Step 5: Solve for x
    x = 7,837,560,900/57,292
  6. Step 6: Final answer
    x = 136,800.27

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.