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Finding the Third Proportional to 73,254 and 156,876

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Solution

The third proportional to 73,254 and 156,876 is: 335,955.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,254 : 156,876 = 156,876 : x
  2. Step 2: Convert to fraction form
    73,254/156,876 = 156,876/x
  3. Step 3: Cross multiply
    73,254x = 156,876 × 156,876
  4. Step 4: Simplify right side
    73,254x = 24,610,079,376
  5. Step 5: Solve for x
    x = 24,610,079,376/73,254
  6. Step 6: Final answer
    x = 335,955.43

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.