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Finding the Third Proportional to 75,697.03 and 159,233.34

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Solution

The third proportional to 75,697.03 and 159,233.34 is: 334,957.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,697.03 : 159,233.34 = 159,233.34 : x
  2. Step 2: Convert to fraction form
    75,697.03/159,233.34 = 159,233.34/x
  3. Step 3: Cross multiply
    75,697.03x = 159,233.34 × 159,233.34
  4. Step 4: Simplify right side
    75,697.03x = 25,355,257,761.81
  5. Step 5: Solve for x
    x = 25,355,257,761.81/75,697.03
  6. Step 6: Final answer
    x = 334,957.10

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.