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Finding the Third Proportional to 94,660 and 207,736

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Solution

The third proportional to 94,660 and 207,736 is: 455,886.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,660 : 207,736 = 207,736 : x
  2. Step 2: Convert to fraction form
    94,660/207,736 = 207,736/x
  3. Step 3: Cross multiply
    94,660x = 207,736 × 207,736
  4. Step 4: Simplify right side
    94,660x = 43,154,245,696
  5. Step 5: Solve for x
    x = 43,154,245,696/94,660
  6. Step 6: Final answer
    x = 455,886.81

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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.