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Finding the Third Proportional to 74,400.38 and 106,350.75

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Solution

The third proportional to 74,400.38 and 106,350.75 is: 152,021.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,400.38 : 106,350.75 = 106,350.75 : x
  2. Step 2: Convert to fraction form
    74,400.38/106,350.75 = 106,350.75/x
  3. Step 3: Cross multiply
    74,400.38x = 106,350.75 × 106,350.75
  4. Step 4: Simplify right side
    74,400.38x = 11,310,482,025.56
  5. Step 5: Solve for x
    x = 11,310,482,025.56/74,400.38
  6. Step 6: Final answer
    x = 152,021.84

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These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.