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Finding the Third Proportional to 45,172 and 100,712

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Solution

The third proportional to 45,172 and 100,712 is: 224,539.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,172 : 100,712 = 100,712 : x
  2. Step 2: Convert to fraction form
    45,172/100,712 = 100,712/x
  3. Step 3: Cross multiply
    45,172x = 100,712 × 100,712
  4. Step 4: Simplify right side
    45,172x = 10,142,906,944
  5. Step 5: Solve for x
    x = 10,142,906,944/45,172
  6. Step 6: Final answer
    x = 224,539.69

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.