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Finding the Third Proportional to 52,035.75 and 77,319.56

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Solution

The third proportional to 52,035.75 and 77,319.56 is: 114,888.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,035.75 : 77,319.56 = 77,319.56 : x
  2. Step 2: Convert to fraction form
    52,035.75/77,319.56 = 77,319.56/x
  3. Step 3: Cross multiply
    52,035.75x = 77,319.56 × 77,319.56
  4. Step 4: Simplify right side
    52,035.75x = 5,978,314,745.19
  5. Step 5: Solve for x
    x = 5,978,314,745.19/52,035.75
  6. Step 6: Final answer
    x = 114,888.61

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.