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Finding the Third Proportional to 120,824 and 183,900

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Solution

The third proportional to 120,824 and 183,900 is: 279,904.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,824 : 183,900 = 183,900 : x
  2. Step 2: Convert to fraction form
    120,824/183,900 = 183,900/x
  3. Step 3: Cross multiply
    120,824x = 183,900 × 183,900
  4. Step 4: Simplify right side
    120,824x = 33,819,210,000
  5. Step 5: Solve for x
    x = 33,819,210,000/120,824
  6. Step 6: Final answer
    x = 279,904.74

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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.