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Finding the Third Proportional to 94,747.50 and 142,108.88

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Solution

The third proportional to 94,747.50 and 142,108.88 is: 213,144.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,747.50 : 142,108.88 = 142,108.88 : x
  2. Step 2: Convert to fraction form
    94,747.50/142,108.88 = 142,108.88/x
  3. Step 3: Cross multiply
    94,747.50x = 142,108.88 × 142,108.88
  4. Step 4: Simplify right side
    94,747.50x = 20,194,932,353.77
  5. Step 5: Solve for x
    x = 20,194,932,353.77/94,747.50
  6. Step 6: Final answer
    x = 213,144.75

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.