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Finding the Third Proportional to 120,690 and 183,627

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Solution

The third proportional to 120,690 and 183,627 is: 279,384.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,690 : 183,627 = 183,627 : x
  2. Step 2: Convert to fraction form
    120,690/183,627 = 183,627/x
  3. Step 3: Cross multiply
    120,690x = 183,627 × 183,627
  4. Step 4: Simplify right side
    120,690x = 33,718,875,129
  5. Step 5: Solve for x
    x = 33,718,875,129/120,690
  6. Step 6: Final answer
    x = 279,384.17

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.