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Finding the Third Proportional to 90,160 and 192,828

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Solution

The third proportional to 90,160 and 192,828 is: 412,407.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,160 : 192,828 = 192,828 : x
  2. Step 2: Convert to fraction form
    90,160/192,828 = 192,828/x
  3. Step 3: Cross multiply
    90,160x = 192,828 × 192,828
  4. Step 4: Simplify right side
    90,160x = 37,182,637,584
  5. Step 5: Solve for x
    x = 37,182,637,584/90,160
  6. Step 6: Final answer
    x = 412,407.25

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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.