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Finding the Third Proportional to 25,076 and 55,096

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Solution

The third proportional to 25,076 and 55,096 is: 121,054.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,076 : 55,096 = 55,096 : x
  2. Step 2: Convert to fraction form
    25,076/55,096 = 55,096/x
  3. Step 3: Cross multiply
    25,076x = 55,096 × 55,096
  4. Step 4: Simplify right side
    25,076x = 3,035,569,216
  5. Step 5: Solve for x
    x = 3,035,569,216/25,076
  6. Step 6: Final answer
    x = 121,054.76

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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.