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Finding the Third Proportional to 42,322 and 62,150

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Solution

The third proportional to 42,322 and 62,150 is: 91,267.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,322 : 62,150 = 62,150 : x
  2. Step 2: Convert to fraction form
    42,322/62,150 = 62,150/x
  3. Step 3: Cross multiply
    42,322x = 62,150 × 62,150
  4. Step 4: Simplify right side
    42,322x = 3,862,622,500
  5. Step 5: Solve for x
    x = 3,862,622,500/42,322
  6. Step 6: Final answer
    x = 91,267.48

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.