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Finding the Third Proportional to 62,392 and 95,996

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Solution

The third proportional to 62,392 and 95,996 is: 147,698.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,392 : 95,996 = 95,996 : x
  2. Step 2: Convert to fraction form
    62,392/95,996 = 95,996/x
  3. Step 3: Cross multiply
    62,392x = 95,996 × 95,996
  4. Step 4: Simplify right side
    62,392x = 9,215,232,016
  5. Step 5: Solve for x
    x = 9,215,232,016/62,392
  6. Step 6: Final answer
    x = 147,698.94

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.