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Finding the Third Proportional to 54,968 and 77,652

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Solution

The third proportional to 54,968 and 77,652 is: 109,697.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,968 : 77,652 = 77,652 : x
  2. Step 2: Convert to fraction form
    54,968/77,652 = 77,652/x
  3. Step 3: Cross multiply
    54,968x = 77,652 × 77,652
  4. Step 4: Simplify right side
    54,968x = 6,029,833,104
  5. Step 5: Solve for x
    x = 6,029,833,104/54,968
  6. Step 6: Final answer
    x = 109,697.15

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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.