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Finding the Third Proportional to 94,144.50 and 143,422.50

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Solution

The third proportional to 94,144.50 and 143,422.50 is: 218,494.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,144.50 : 143,422.50 = 143,422.50 : x
  2. Step 2: Convert to fraction form
    94,144.50/143,422.50 = 143,422.50/x
  3. Step 3: Cross multiply
    94,144.50x = 143,422.50 × 143,422.50
  4. Step 4: Simplify right side
    94,144.50x = 20,570,013,506.25
  5. Step 5: Solve for x
    x = 20,570,013,506.25/94,144.50
  6. Step 6: Final answer
    x = 218,494.05

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.