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Finding the Third Proportional to 133,921 and 195,754

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Solution

The third proportional to 133,921 and 195,754 is: 286,136.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,921 : 195,754 = 195,754 : x
  2. Step 2: Convert to fraction form
    133,921/195,754 = 195,754/x
  3. Step 3: Cross multiply
    133,921x = 195,754 × 195,754
  4. Step 4: Simplify right side
    133,921x = 38,319,628,516
  5. Step 5: Solve for x
    x = 38,319,628,516/133,921
  6. Step 6: Final answer
    x = 286,136.07

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.