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Finding the Third Proportional to 42,706 and 91,324

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Solution

The third proportional to 42,706 and 91,324 is: 195,290.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,706 : 91,324 = 91,324 : x
  2. Step 2: Convert to fraction form
    42,706/91,324 = 91,324/x
  3. Step 3: Cross multiply
    42,706x = 91,324 × 91,324
  4. Step 4: Simplify right side
    42,706x = 8,340,072,976
  5. Step 5: Solve for x
    x = 8,340,072,976/42,706
  6. Step 6: Final answer
    x = 195,290.43

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.