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Finding the Third Proportional to 123,021 and 183,889

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Solution

The third proportional to 123,021 and 183,889 is: 274,873.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,021 : 183,889 = 183,889 : x
  2. Step 2: Convert to fraction form
    123,021/183,889 = 183,889/x
  3. Step 3: Cross multiply
    123,021x = 183,889 × 183,889
  4. Step 4: Simplify right side
    123,021x = 33,815,164,321
  5. Step 5: Solve for x
    x = 33,815,164,321/123,021
  6. Step 6: Final answer
    x = 274,873.11

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.