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Finding the Third Proportional to 56,352.75 and 118,993

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Solution

The third proportional to 56,352.75 and 118,993 is: 251,262.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,352.75 : 118,993 = 118,993 : x
  2. Step 2: Convert to fraction form
    56,352.75/118,993 = 118,993/x
  3. Step 3: Cross multiply
    56,352.75x = 118,993 × 118,993
  4. Step 4: Simplify right side
    56,352.75x = 14,159,334,049
  5. Step 5: Solve for x
    x = 14,159,334,049/56,352.75
  6. Step 6: Final answer
    x = 251,262.52

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.