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Finding the Third Proportional to 42,549 and 90,890

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Solution

The third proportional to 42,549 and 90,890 is: 194,152.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,549 : 90,890 = 90,890 : x
  2. Step 2: Convert to fraction form
    42,549/90,890 = 90,890/x
  3. Step 3: Cross multiply
    42,549x = 90,890 × 90,890
  4. Step 4: Simplify right side
    42,549x = 8,260,992,100
  5. Step 5: Solve for x
    x = 8,260,992,100/42,549
  6. Step 6: Final answer
    x = 194,152.44

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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.