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Finding the Third Proportional to 92,106 and 192,554

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Solution

The third proportional to 92,106 and 192,554 is: 402,547.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,106 : 192,554 = 192,554 : x
  2. Step 2: Convert to fraction form
    92,106/192,554 = 192,554/x
  3. Step 3: Cross multiply
    92,106x = 192,554 × 192,554
  4. Step 4: Simplify right side
    92,106x = 37,077,042,916
  5. Step 5: Solve for x
    x = 37,077,042,916/92,106
  6. Step 6: Final answer
    x = 402,547.53

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.