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Finding the Third Proportional to 48,559.50 and 108,418.50

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Solution

The third proportional to 48,559.50 and 108,418.50 is: 242,065.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,559.50 : 108,418.50 = 108,418.50 : x
  2. Step 2: Convert to fraction form
    48,559.50/108,418.50 = 108,418.50/x
  3. Step 3: Cross multiply
    48,559.50x = 108,418.50 × 108,418.50
  4. Step 4: Simplify right side
    48,559.50x = 11,754,571,142.25
  5. Step 5: Solve for x
    x = 11,754,571,142.25/48,559.50
  6. Step 6: Final answer
    x = 242,065.32

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These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.