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Finding the Third Proportional to 45,324 and 100,044

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Solution

The third proportional to 45,324 and 100,044 is: 220,827.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,324 : 100,044 = 100,044 : x
  2. Step 2: Convert to fraction form
    45,324/100,044 = 100,044/x
  3. Step 3: Cross multiply
    45,324x = 100,044 × 100,044
  4. Step 4: Simplify right side
    45,324x = 10,008,801,936
  5. Step 5: Solve for x
    x = 10,008,801,936/45,324
  6. Step 6: Final answer
    x = 220,827.86

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.