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Finding the Third Proportional to 62,389 and 95,994

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Solution

The third proportional to 62,389 and 95,994 is: 147,699.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,389 : 95,994 = 95,994 : x
  2. Step 2: Convert to fraction form
    62,389/95,994 = 95,994/x
  3. Step 3: Cross multiply
    62,389x = 95,994 × 95,994
  4. Step 4: Simplify right side
    62,389x = 9,214,848,036
  5. Step 5: Solve for x
    x = 9,214,848,036/62,389
  6. Step 6: Final answer
    x = 147,699.88

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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.