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Finding the Third Proportional to 90,468 and 192,960

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Solution

The third proportional to 90,468 and 192,960 is: 411,566.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,468 : 192,960 = 192,960 : x
  2. Step 2: Convert to fraction form
    90,468/192,960 = 192,960/x
  3. Step 3: Cross multiply
    90,468x = 192,960 × 192,960
  4. Step 4: Simplify right side
    90,468x = 37,233,561,600
  5. Step 5: Solve for x
    x = 37,233,561,600/90,468
  6. Step 6: Final answer
    x = 411,566.10

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.