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Finding the Third Proportional to 133,821 and 197,032

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Solution

The third proportional to 133,821 and 197,032 is: 290,101.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,821 : 197,032 = 197,032 : x
  2. Step 2: Convert to fraction form
    133,821/197,032 = 197,032/x
  3. Step 3: Cross multiply
    133,821x = 197,032 × 197,032
  4. Step 4: Simplify right side
    133,821x = 38,821,609,024
  5. Step 5: Solve for x
    x = 38,821,609,024/133,821
  6. Step 6: Final answer
    x = 290,101.02

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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.