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Finding the Third Proportional to 42,470 and 92,324

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Solution

The third proportional to 42,470 and 92,324 is: 200,699.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,470 : 92,324 = 92,324 : x
  2. Step 2: Convert to fraction form
    42,470/92,324 = 92,324/x
  3. Step 3: Cross multiply
    42,470x = 92,324 × 92,324
  4. Step 4: Simplify right side
    42,470x = 8,523,720,976
  5. Step 5: Solve for x
    x = 8,523,720,976/42,470
  6. Step 6: Final answer
    x = 200,699.81

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.