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Finding the Third Proportional to 25,046 and 55,116

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Solution

The third proportional to 25,046 and 55,116 is: 121,287.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,046 : 55,116 = 55,116 : x
  2. Step 2: Convert to fraction form
    25,046/55,116 = 55,116/x
  3. Step 3: Cross multiply
    25,046x = 55,116 × 55,116
  4. Step 4: Simplify right side
    25,046x = 3,037,773,456
  5. Step 5: Solve for x
    x = 3,037,773,456/25,046
  6. Step 6: Final answer
    x = 121,287.77

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.