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Finding the Third Proportional to 72,765.75 and 159,058.31

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Solution

The third proportional to 72,765.75 and 159,058.31 is: 347,684.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,765.75 : 159,058.31 = 159,058.31 : x
  2. Step 2: Convert to fraction form
    72,765.75/159,058.31 = 159,058.31/x
  3. Step 3: Cross multiply
    72,765.75x = 159,058.31 × 159,058.31
  4. Step 4: Simplify right side
    72,765.75x = 25,299,546,775.35
  5. Step 5: Solve for x
    x = 25,299,546,775.35/72,765.75
  6. Step 6: Final answer
    x = 347,684.82

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.