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Finding the Third Proportional to 90,040 and 193,423

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Solution

The third proportional to 90,040 and 193,423 is: 415,509.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,040 : 193,423 = 193,423 : x
  2. Step 2: Convert to fraction form
    90,040/193,423 = 193,423/x
  3. Step 3: Cross multiply
    90,040x = 193,423 × 193,423
  4. Step 4: Simplify right side
    90,040x = 37,412,456,929
  5. Step 5: Solve for x
    x = 37,412,456,929/90,040
  6. Step 6: Final answer
    x = 415,509.30

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.