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Finding the Third Proportional to 56,469.09 and 75,281.91

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Solution

The third proportional to 56,469.09 and 75,281.91 is: 100,362.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,469.09 : 75,281.91 = 75,281.91 : x
  2. Step 2: Convert to fraction form
    56,469.09/75,281.91 = 75,281.91/x
  3. Step 3: Cross multiply
    56,469.09x = 75,281.91 × 75,281.91
  4. Step 4: Simplify right side
    56,469.09x = 5,667,365,408.63
  5. Step 5: Solve for x
    x = 5,667,365,408.63/56,469.09
  6. Step 6: Final answer
    x = 100,362.25

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These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.