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Finding the Third Proportional to 51,699.75 and 107,773.50

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Solution

The third proportional to 51,699.75 and 107,773.50 is: 224,665.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,699.75 : 107,773.50 = 107,773.50 : x
  2. Step 2: Convert to fraction form
    51,699.75/107,773.50 = 107,773.50/x
  3. Step 3: Cross multiply
    51,699.75x = 107,773.50 × 107,773.50
  4. Step 4: Simplify right side
    51,699.75x = 11,615,127,302.25
  5. Step 5: Solve for x
    x = 11,615,127,302.25/51,699.75
  6. Step 6: Final answer
    x = 224,665.06

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.