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Finding the Third Proportional to 92,084 and 201,736

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Solution

The third proportional to 92,084 and 201,736 is: 441,959.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,084 : 201,736 = 201,736 : x
  2. Step 2: Convert to fraction form
    92,084/201,736 = 201,736/x
  3. Step 3: Cross multiply
    92,084x = 201,736 × 201,736
  4. Step 4: Simplify right side
    92,084x = 40,697,413,696
  5. Step 5: Solve for x
    x = 40,697,413,696/92,084
  6. Step 6: Final answer
    x = 441,959.66

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.