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Finding the Third Proportional to 42,800 and 88,324

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Solution

The third proportional to 42,800 and 88,324 is: 182,269.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,800 : 88,324 = 88,324 : x
  2. Step 2: Convert to fraction form
    42,800/88,324 = 88,324/x
  3. Step 3: Cross multiply
    42,800x = 88,324 × 88,324
  4. Step 4: Simplify right side
    42,800x = 7,801,128,976
  5. Step 5: Solve for x
    x = 7,801,128,976/42,800
  6. Step 6: Final answer
    x = 182,269.37

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.