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Finding the Third Proportional to 45,627 and 100,134

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Solution

The third proportional to 45,627 and 100,134 is: 219,756.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,627 : 100,134 = 100,134 : x
  2. Step 2: Convert to fraction form
    45,627/100,134 = 100,134/x
  3. Step 3: Cross multiply
    45,627x = 100,134 × 100,134
  4. Step 4: Simplify right side
    45,627x = 10,026,817,956
  5. Step 5: Solve for x
    x = 10,026,817,956/45,627
  6. Step 6: Final answer
    x = 219,756.24

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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.