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Finding the Third Proportional to 133,764 and 195,723

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Solution

The third proportional to 133,764 and 195,723 is: 286,381.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,764 : 195,723 = 195,723 : x
  2. Step 2: Convert to fraction form
    133,764/195,723 = 195,723/x
  3. Step 3: Cross multiply
    133,764x = 195,723 × 195,723
  4. Step 4: Simplify right side
    133,764x = 38,307,492,729
  5. Step 5: Solve for x
    x = 38,307,492,729/133,764
  6. Step 6: Final answer
    x = 286,381.18

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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.