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Finding the Third Proportional to 56,177.14 and 120,917.89

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Solution

The third proportional to 56,177.14 and 120,917.89 is: 260,268.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,177.14 : 120,917.89 = 120,917.89 : x
  2. Step 2: Convert to fraction form
    56,177.14/120,917.89 = 120,917.89/x
  3. Step 3: Cross multiply
    56,177.14x = 120,917.89 × 120,917.89
  4. Step 4: Simplify right side
    56,177.14x = 14,621,136,509.37
  5. Step 5: Solve for x
    x = 14,621,136,509.37/56,177.14
  6. Step 6: Final answer
    x = 260,268.44

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.