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Finding the Third Proportional to 72,034.31 and 155,094.75

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Solution

The third proportional to 72,034.31 and 155,094.75 is: 333,929.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,034.31 : 155,094.75 = 155,094.75 : x
  2. Step 2: Convert to fraction form
    72,034.31/155,094.75 = 155,094.75/x
  3. Step 3: Cross multiply
    72,034.31x = 155,094.75 × 155,094.75
  4. Step 4: Simplify right side
    72,034.31x = 24,054,381,477.56
  5. Step 5: Solve for x
    x = 24,054,381,477.56/72,034.31
  6. Step 6: Final answer
    x = 333,929.49

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.