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Finding the Third Proportional to 59,222.50 and 78,249.50

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Solution

The third proportional to 59,222.50 and 78,249.50 is: 103,389.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,222.50 : 78,249.50 = 78,249.50 : x
  2. Step 2: Convert to fraction form
    59,222.50/78,249.50 = 78,249.50/x
  3. Step 3: Cross multiply
    59,222.50x = 78,249.50 × 78,249.50
  4. Step 4: Simplify right side
    59,222.50x = 6,122,984,250.25
  5. Step 5: Solve for x
    x = 6,122,984,250.25/59,222.50
  6. Step 6: Final answer
    x = 103,389.49

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These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.