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Finding the Third Proportional to 52,994.25 and 74,273.63

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Solution

The third proportional to 52,994.25 and 74,273.63 is: 104,097.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,994.25 : 74,273.63 = 74,273.63 : x
  2. Step 2: Convert to fraction form
    52,994.25/74,273.63 = 74,273.63/x
  3. Step 3: Cross multiply
    52,994.25x = 74,273.63 × 74,273.63
  4. Step 4: Simplify right side
    52,994.25x = 5,516,571,370.64
  5. Step 5: Solve for x
    x = 5,516,571,370.64/52,994.25
  6. Step 6: Final answer
    x = 104,097.55

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.