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Finding the Third Proportional to 47,196 and 70,902

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Solution

The third proportional to 47,196 and 70,902 is: 106,515.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,196 : 70,902 = 70,902 : x
  2. Step 2: Convert to fraction form
    47,196/70,902 = 70,902/x
  3. Step 3: Cross multiply
    47,196x = 70,902 × 70,902
  4. Step 4: Simplify right side
    47,196x = 5,027,093,604
  5. Step 5: Solve for x
    x = 5,027,093,604/47,196
  6. Step 6: Final answer
    x = 106,515.25

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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.