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Finding the Third Proportional to 48,199.50 and 74,135.25

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Solution

The third proportional to 48,199.50 and 74,135.25 is: 114,026.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,199.50 : 74,135.25 = 74,135.25 : x
  2. Step 2: Convert to fraction form
    48,199.50/74,135.25 = 74,135.25/x
  3. Step 3: Cross multiply
    48,199.50x = 74,135.25 × 74,135.25
  4. Step 4: Simplify right side
    48,199.50x = 5,496,035,292.56
  5. Step 5: Solve for x
    x = 5,496,035,292.56/48,199.50
  6. Step 6: Final answer
    x = 114,026.81

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.