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Finding the Third Proportional to 133,854 and 197,073

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Solution

The third proportional to 133,854 and 197,073 is: 290,150.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,854 : 197,073 = 197,073 : x
  2. Step 2: Convert to fraction form
    133,854/197,073 = 197,073/x
  3. Step 3: Cross multiply
    133,854x = 197,073 × 197,073
  4. Step 4: Simplify right side
    133,854x = 38,837,767,329
  5. Step 5: Solve for x
    x = 38,837,767,329/133,854
  6. Step 6: Final answer
    x = 290,150.22

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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.