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Finding the Third Proportional to 90,801 and 192,417

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Solution

The third proportional to 90,801 and 192,417 is: 407,752.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,801 : 192,417 = 192,417 : x
  2. Step 2: Convert to fraction form
    90,801/192,417 = 192,417/x
  3. Step 3: Cross multiply
    90,801x = 192,417 × 192,417
  4. Step 4: Simplify right side
    90,801x = 37,024,301,889
  5. Step 5: Solve for x
    x = 37,024,301,889/90,801
  6. Step 6: Final answer
    x = 407,752.14

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.