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Finding the Third Proportional to 120,733 and 183,107

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Solution

The third proportional to 120,733 and 183,107 is: 277,705.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,733 : 183,107 = 183,107 : x
  2. Step 2: Convert to fraction form
    120,733/183,107 = 183,107/x
  3. Step 3: Cross multiply
    120,733x = 183,107 × 183,107
  4. Step 4: Simplify right side
    120,733x = 33,528,173,449
  5. Step 5: Solve for x
    x = 33,528,173,449/120,733
  6. Step 6: Final answer
    x = 277,705.13

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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.