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Finding the Third Proportional to 52,434 and 109,991.25

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Solution

The third proportional to 52,434 and 109,991.25 is: 230,729.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,434 : 109,991.25 = 109,991.25 : x
  2. Step 2: Convert to fraction form
    52,434/109,991.25 = 109,991.25/x
  3. Step 3: Cross multiply
    52,434x = 109,991.25 × 109,991.25
  4. Step 4: Simplify right side
    52,434x = 12,098,075,076.56
  5. Step 5: Solve for x
    x = 12,098,075,076.56/52,434
  6. Step 6: Final answer
    x = 230,729.59

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.