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Finding the Third Proportional to 94,774.50 and 142,404.75

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Solution

The third proportional to 94,774.50 and 142,404.75 is: 213,972.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,774.50 : 142,404.75 = 142,404.75 : x
  2. Step 2: Convert to fraction form
    94,774.50/142,404.75 = 142,404.75/x
  3. Step 3: Cross multiply
    94,774.50x = 142,404.75 × 142,404.75
  4. Step 4: Simplify right side
    94,774.50x = 20,279,112,822.56
  5. Step 5: Solve for x
    x = 20,279,112,822.56/94,774.50
  6. Step 6: Final answer
    x = 213,972.25

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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.