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Finding the Third Proportional to 110,456 and 172,236

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Solution

The third proportional to 110,456 and 172,236 is: 268,570.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,456 : 172,236 = 172,236 : x
  2. Step 2: Convert to fraction form
    110,456/172,236 = 172,236/x
  3. Step 3: Cross multiply
    110,456x = 172,236 × 172,236
  4. Step 4: Simplify right side
    110,456x = 29,665,239,696
  5. Step 5: Solve for x
    x = 29,665,239,696/110,456
  6. Step 6: Final answer
    x = 268,570.65

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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.