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Finding the Third Proportional to 52,374 and 113,855

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Solution

The third proportional to 52,374 and 113,855 is: 247,507.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,374 : 113,855 = 113,855 : x
  2. Step 2: Convert to fraction form
    52,374/113,855 = 113,855/x
  3. Step 3: Cross multiply
    52,374x = 113,855 × 113,855
  4. Step 4: Simplify right side
    52,374x = 12,962,961,025
  5. Step 5: Solve for x
    x = 12,962,961,025/52,374
  6. Step 6: Final answer
    x = 247,507.56

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.