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Finding the Third Proportional to 133,848 and 197,071

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Solution

The third proportional to 133,848 and 197,071 is: 290,157.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,848 : 197,071 = 197,071 : x
  2. Step 2: Convert to fraction form
    133,848/197,071 = 197,071/x
  3. Step 3: Cross multiply
    133,848x = 197,071 × 197,071
  4. Step 4: Simplify right side
    133,848x = 38,836,979,041
  5. Step 5: Solve for x
    x = 38,836,979,041/133,848
  6. Step 6: Final answer
    x = 290,157.34

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.