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Finding the Third Proportional to 110,472 and 172,816.50

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Solution

The third proportional to 110,472 and 172,816.50 is: 270,344.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,472 : 172,816.50 = 172,816.50 : x
  2. Step 2: Convert to fraction form
    110,472/172,816.50 = 172,816.50/x
  3. Step 3: Cross multiply
    110,472x = 172,816.50 × 172,816.50
  4. Step 4: Simplify right side
    110,472x = 29,865,542,672.25
  5. Step 5: Solve for x
    x = 29,865,542,672.25/110,472
  6. Step 6: Final answer
    x = 270,344.91

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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.