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Finding the Third Proportional to 90,722 and 194,560

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Solution

The third proportional to 90,722 and 194,560 is: 417,248.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,722 : 194,560 = 194,560 : x
  2. Step 2: Convert to fraction form
    90,722/194,560 = 194,560/x
  3. Step 3: Cross multiply
    90,722x = 194,560 × 194,560
  4. Step 4: Simplify right side
    90,722x = 37,853,593,600
  5. Step 5: Solve for x
    x = 37,853,593,600/90,722
  6. Step 6: Final answer
    x = 417,248.23

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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.