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Finding the Third Proportional to 56,774.25 and 117,192.75

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Solution

The third proportional to 56,774.25 and 117,192.75 is: 241,907.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,774.25 : 117,192.75 = 117,192.75 : x
  2. Step 2: Convert to fraction form
    56,774.25/117,192.75 = 117,192.75/x
  3. Step 3: Cross multiply
    56,774.25x = 117,192.75 × 117,192.75
  4. Step 4: Simplify right side
    56,774.25x = 13,734,140,652.56
  5. Step 5: Solve for x
    x = 13,734,140,652.56/56,774.25
  6. Step 6: Final answer
    x = 241,907.92

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.