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Finding the Third Proportional to 60,769 and 91,993

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Solution

The third proportional to 60,769 and 91,993 is: 139,260.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,769 : 91,993 = 91,993 : x
  2. Step 2: Convert to fraction form
    60,769/91,993 = 91,993/x
  3. Step 3: Cross multiply
    60,769x = 91,993 × 91,993
  4. Step 4: Simplify right side
    60,769x = 8,462,712,049
  5. Step 5: Solve for x
    x = 8,462,712,049/60,769
  6. Step 6: Final answer
    x = 139,260.35

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.