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Finding the Third Proportional to 62,956 and 96,622

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Solution

The third proportional to 62,956 and 96,622 is: 148,291.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,956 : 96,622 = 96,622 : x
  2. Step 2: Convert to fraction form
    62,956/96,622 = 96,622/x
  3. Step 3: Cross multiply
    62,956x = 96,622 × 96,622
  4. Step 4: Simplify right side
    62,956x = 9,335,810,884
  5. Step 5: Solve for x
    x = 9,335,810,884/62,956
  6. Step 6: Final answer
    x = 148,291.04

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.