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Finding the Third Proportional to 45,788 and 100,324

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Solution

The third proportional to 45,788 and 100,324 is: 219,815.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,788 : 100,324 = 100,324 : x
  2. Step 2: Convert to fraction form
    45,788/100,324 = 100,324/x
  3. Step 3: Cross multiply
    45,788x = 100,324 × 100,324
  4. Step 4: Simplify right side
    45,788x = 10,064,904,976
  5. Step 5: Solve for x
    x = 10,064,904,976/45,788
  6. Step 6: Final answer
    x = 219,815.34

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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.