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Finding the Third Proportional to 48,232.50 and 75,435.75

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Solution

The third proportional to 48,232.50 and 75,435.75 is: 117,981.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,232.50 : 75,435.75 = 75,435.75 : x
  2. Step 2: Convert to fraction form
    48,232.50/75,435.75 = 75,435.75/x
  3. Step 3: Cross multiply
    48,232.50x = 75,435.75 × 75,435.75
  4. Step 4: Simplify right side
    48,232.50x = 5,690,552,378.06
  5. Step 5: Solve for x
    x = 5,690,552,378.06/48,232.50
  6. Step 6: Final answer
    x = 117,981.70

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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.