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Finding the Third Proportional to 133,821 and 195,706.13

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Solution

The third proportional to 133,821 and 195,706.13 is: 286,209.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,821 : 195,706.13 = 195,706.13 : x
  2. Step 2: Convert to fraction form
    133,821/195,706.13 = 195,706.13/x
  3. Step 3: Cross multiply
    133,821x = 195,706.13 × 195,706.13
  4. Step 4: Simplify right side
    133,821x = 38,300,887,362.52
  5. Step 5: Solve for x
    x = 38,300,887,362.52/133,821
  6. Step 6: Final answer
    x = 286,209.84

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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.