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Finding the Third Proportional to 52,043 and 114,454

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Solution

The third proportional to 52,043 and 114,454 is: 251,709.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,043 : 114,454 = 114,454 : x
  2. Step 2: Convert to fraction form
    52,043/114,454 = 114,454/x
  3. Step 3: Cross multiply
    52,043x = 114,454 × 114,454
  4. Step 4: Simplify right side
    52,043x = 13,099,718,116
  5. Step 5: Solve for x
    x = 13,099,718,116/52,043
  6. Step 6: Final answer
    x = 251,709.51

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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.