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Finding the Third Proportional to 47,070 and 97,974

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Solution

The third proportional to 47,070 and 97,974 is: 203,928.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,070 : 97,974 = 97,974 : x
  2. Step 2: Convert to fraction form
    47,070/97,974 = 97,974/x
  3. Step 3: Cross multiply
    47,070x = 97,974 × 97,974
  4. Step 4: Simplify right side
    47,070x = 9,598,904,676
  5. Step 5: Solve for x
    x = 9,598,904,676/47,070
  6. Step 6: Final answer
    x = 203,928.29

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.