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Finding the Third Proportional to 83,955 and 183,174

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Solution

The third proportional to 83,955 and 183,174 is: 399,651.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,955 : 183,174 = 183,174 : x
  2. Step 2: Convert to fraction form
    83,955/183,174 = 183,174/x
  3. Step 3: Cross multiply
    83,955x = 183,174 × 183,174
  4. Step 4: Simplify right side
    83,955x = 33,552,714,276
  5. Step 5: Solve for x
    x = 33,552,714,276/83,955
  6. Step 6: Final answer
    x = 399,651.17

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.