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Finding the Third Proportional to 45,712 and 100,192

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Solution

The third proportional to 45,712 and 100,192 is: 219,601.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,712 : 100,192 = 100,192 : x
  2. Step 2: Convert to fraction form
    45,712/100,192 = 100,192/x
  3. Step 3: Cross multiply
    45,712x = 100,192 × 100,192
  4. Step 4: Simplify right side
    45,712x = 10,038,436,864
  5. Step 5: Solve for x
    x = 10,038,436,864/45,712
  6. Step 6: Final answer
    x = 219,601.79

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.