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Finding the Third Proportional to 62,768 and 87,993

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Solution

The third proportional to 62,768 and 87,993 is: 123,355.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,768 : 87,993 = 87,993 : x
  2. Step 2: Convert to fraction form
    62,768/87,993 = 87,993/x
  3. Step 3: Cross multiply
    62,768x = 87,993 × 87,993
  4. Step 4: Simplify right side
    62,768x = 7,742,768,049
  5. Step 5: Solve for x
    x = 7,742,768,049/62,768
  6. Step 6: Final answer
    x = 123,355.34

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.