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Finding the Third Proportional to 133,024.50 and 195,644.25

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Solution

The third proportional to 133,024.50 and 195,644.25 is: 287,741.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,024.50 : 195,644.25 = 195,644.25 : x
  2. Step 2: Convert to fraction form
    133,024.50/195,644.25 = 195,644.25/x
  3. Step 3: Cross multiply
    133,024.50x = 195,644.25 × 195,644.25
  4. Step 4: Simplify right side
    133,024.50x = 38,276,672,558.06
  5. Step 5: Solve for x
    x = 38,276,672,558.06/133,024.50
  6. Step 6: Final answer
    x = 287,741.53

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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.