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Finding the Third Proportional to 81,374.25 and 175,908

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Solution

The third proportional to 81,374.25 and 175,908 is: 380,263.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,374.25 : 175,908 = 175,908 : x
  2. Step 2: Convert to fraction form
    81,374.25/175,908 = 175,908/x
  3. Step 3: Cross multiply
    81,374.25x = 175,908 × 175,908
  4. Step 4: Simplify right side
    81,374.25x = 30,943,624,464
  5. Step 5: Solve for x
    x = 30,943,624,464/81,374.25
  6. Step 6: Final answer
    x = 380,263.10

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.