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Finding the Third Proportional to 110,433.50 and 172,211.25

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Solution

The third proportional to 110,433.50 and 172,211.25 is: 268,548.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,433.50 : 172,211.25 = 172,211.25 : x
  2. Step 2: Convert to fraction form
    110,433.50/172,211.25 = 172,211.25/x
  3. Step 3: Cross multiply
    110,433.50x = 172,211.25 × 172,211.25
  4. Step 4: Simplify right side
    110,433.50x = 29,656,714,626.56
  5. Step 5: Solve for x
    x = 29,656,714,626.56/110,433.50
  6. Step 6: Final answer
    x = 268,548.17

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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.