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Finding the Third Proportional to 70,367 and 105,199

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Solution

The third proportional to 70,367 and 105,199 is: 157,273.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,367 : 105,199 = 105,199 : x
  2. Step 2: Convert to fraction form
    70,367/105,199 = 105,199/x
  3. Step 3: Cross multiply
    70,367x = 105,199 × 105,199
  4. Step 4: Simplify right side
    70,367x = 11,066,829,601
  5. Step 5: Solve for x
    x = 11,066,829,601/70,367
  6. Step 6: Final answer
    x = 157,273.01

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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.