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Finding the Third Proportional to 94,197 and 142,255.50

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Solution

The third proportional to 94,197 and 142,255.50 is: 214,833.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,197 : 142,255.50 = 142,255.50 : x
  2. Step 2: Convert to fraction form
    94,197/142,255.50 = 142,255.50/x
  3. Step 3: Cross multiply
    94,197x = 142,255.50 × 142,255.50
  4. Step 4: Simplify right side
    94,197x = 20,236,627,280.25
  5. Step 5: Solve for x
    x = 20,236,627,280.25/94,197
  6. Step 6: Final answer
    x = 214,833.03

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.