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Finding the Third Proportional to 92,076 and 190,696

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Solution

The third proportional to 92,076 and 190,696 is: 394,945.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,076 : 190,696 = 190,696 : x
  2. Step 2: Convert to fraction form
    92,076/190,696 = 190,696/x
  3. Step 3: Cross multiply
    92,076x = 190,696 × 190,696
  4. Step 4: Simplify right side
    92,076x = 36,364,964,416
  5. Step 5: Solve for x
    x = 36,364,964,416/92,076
  6. Step 6: Final answer
    x = 394,945.09

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.