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Finding the Third Proportional to 133,008.75 and 195,625.13

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Solution

The third proportional to 133,008.75 and 195,625.13 is: 287,719.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,008.75 : 195,625.13 = 195,625.13 : x
  2. Step 2: Convert to fraction form
    133,008.75/195,625.13 = 195,625.13/x
  3. Step 3: Cross multiply
    133,008.75x = 195,625.13 × 195,625.13
  4. Step 4: Simplify right side
    133,008.75x = 38,269,189,531.27
  5. Step 5: Solve for x
    x = 38,269,189,531.27/133,008.75
  6. Step 6: Final answer
    x = 287,719.34

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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.