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Finding the Third Proportional to 70,125.75 and 105,179.63

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Solution

The third proportional to 70,125.75 and 105,179.63 is: 157,755.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,125.75 : 105,179.63 = 105,179.63 : x
  2. Step 2: Convert to fraction form
    70,125.75/105,179.63 = 105,179.63/x
  3. Step 3: Cross multiply
    70,125.75x = 105,179.63 × 105,179.63
  4. Step 4: Simplify right side
    70,125.75x = 11,062,753,515.14
  5. Step 5: Solve for x
    x = 11,062,753,515.14/70,125.75
  6. Step 6: Final answer
    x = 157,755.94

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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.