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Finding the Third Proportional to 61,627 and 132,750

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Solution

The third proportional to 61,627 and 132,750 is: 285,955.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,627 : 132,750 = 132,750 : x
  2. Step 2: Convert to fraction form
    61,627/132,750 = 132,750/x
  3. Step 3: Cross multiply
    61,627x = 132,750 × 132,750
  4. Step 4: Simplify right side
    61,627x = 17,622,562,500
  5. Step 5: Solve for x
    x = 17,622,562,500/61,627
  6. Step 6: Final answer
    x = 285,955.22

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.