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Finding the Third Proportional to 72,763.31 and 159,377.63

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Solution

The third proportional to 72,763.31 and 159,377.63 is: 349,093.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,763.31 : 159,377.63 = 159,377.63 : x
  2. Step 2: Convert to fraction form
    72,763.31/159,377.63 = 159,377.63/x
  3. Step 3: Cross multiply
    72,763.31x = 159,377.63 × 159,377.63
  4. Step 4: Simplify right side
    72,763.31x = 25,401,227,350.64
  5. Step 5: Solve for x
    x = 25,401,227,350.64/72,763.31
  6. Step 6: Final answer
    x = 349,093.88

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