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Finding the Third Proportional to 110,463.75 and 172,803.38

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Solution

The third proportional to 110,463.75 and 172,803.38 is: 270,324.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,463.75 : 172,803.38 = 172,803.38 : x
  2. Step 2: Convert to fraction form
    110,463.75/172,803.38 = 172,803.38/x
  3. Step 3: Cross multiply
    110,463.75x = 172,803.38 × 172,803.38
  4. Step 4: Simplify right side
    110,463.75x = 29,861,006,411.39
  5. Step 5: Solve for x
    x = 29,861,006,411.39/110,463.75
  6. Step 6: Final answer
    x = 270,324.03

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.