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Finding the Third Proportional to 45,285 and 99,534

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Solution

The third proportional to 45,285 and 99,534 is: 218,770.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,285 : 99,534 = 99,534 : x
  2. Step 2: Convert to fraction form
    45,285/99,534 = 99,534/x
  3. Step 3: Cross multiply
    45,285x = 99,534 × 99,534
  4. Step 4: Simplify right side
    45,285x = 9,907,017,156
  5. Step 5: Solve for x
    x = 9,907,017,156/45,285
  6. Step 6: Final answer
    x = 218,770.39

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.