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Finding the Third Proportional to 55,463 and 90,114

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Solution

The third proportional to 55,463 and 90,114 is: 146,413.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,463 : 90,114 = 90,114 : x
  2. Step 2: Convert to fraction form
    55,463/90,114 = 90,114/x
  3. Step 3: Cross multiply
    55,463x = 90,114 × 90,114
  4. Step 4: Simplify right side
    55,463x = 8,120,532,996
  5. Step 5: Solve for x
    x = 8,120,532,996/55,463
  6. Step 6: Final answer
    x = 146,413.52

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These problems maintain the same ratio (1.62) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.