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Finding the Third Proportional to 56,175.88 and 119,277.25

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Solution

The third proportional to 56,175.88 and 119,277.25 is: 253,259.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,175.88 : 119,277.25 = 119,277.25 : x
  2. Step 2: Convert to fraction form
    56,175.88/119,277.25 = 119,277.25/x
  3. Step 3: Cross multiply
    56,175.88x = 119,277.25 × 119,277.25
  4. Step 4: Simplify right side
    56,175.88x = 14,227,062,367.56
  5. Step 5: Solve for x
    x = 14,227,062,367.56/56,175.88
  6. Step 6: Final answer
    x = 253,259.29

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.