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Finding the Third Proportional to 85,003.50 and 124,912.50

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Solution

The third proportional to 85,003.50 and 124,912.50 is: 183,558.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,003.50 : 124,912.50 = 124,912.50 : x
  2. Step 2: Convert to fraction form
    85,003.50/124,912.50 = 124,912.50/x
  3. Step 3: Cross multiply
    85,003.50x = 124,912.50 × 124,912.50
  4. Step 4: Simplify right side
    85,003.50x = 15,603,132,656.25
  5. Step 5: Solve for x
    x = 15,603,132,656.25/85,003.50
  6. Step 6: Final answer
    x = 183,558.71

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.