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Finding the Third Proportional to 94,216 and 192,752

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Solution

The third proportional to 94,216 and 192,752 is: 394,342.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,216 : 192,752 = 192,752 : x
  2. Step 2: Convert to fraction form
    94,216/192,752 = 192,752/x
  3. Step 3: Cross multiply
    94,216x = 192,752 × 192,752
  4. Step 4: Simplify right side
    94,216x = 37,153,333,504
  5. Step 5: Solve for x
    x = 37,153,333,504/94,216
  6. Step 6: Final answer
    x = 394,342.08

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.