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Finding the Third Proportional to 84,228 and 183,972

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Solution

The third proportional to 84,228 and 183,972 is: 401,834.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,228 : 183,972 = 183,972 : x
  2. Step 2: Convert to fraction form
    84,228/183,972 = 183,972/x
  3. Step 3: Cross multiply
    84,228x = 183,972 × 183,972
  4. Step 4: Simplify right side
    84,228x = 33,845,696,784
  5. Step 5: Solve for x
    x = 33,845,696,784/84,228
  6. Step 6: Final answer
    x = 401,834.27

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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.