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Finding the Third Proportional to 55,261.88 and 119,352.75

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Solution

The third proportional to 55,261.88 and 119,352.75 is: 257,774.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,261.88 : 119,352.75 = 119,352.75 : x
  2. Step 2: Convert to fraction form
    55,261.88/119,352.75 = 119,352.75/x
  3. Step 3: Cross multiply
    55,261.88x = 119,352.75 × 119,352.75
  4. Step 4: Simplify right side
    55,261.88x = 14,245,078,932.56
  5. Step 5: Solve for x
    x = 14,245,078,932.56/55,261.88
  6. Step 6: Final answer
    x = 257,774.08

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.