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Finding the Third Proportional to 124,893 and 190,449

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Solution

The third proportional to 124,893 and 190,449 is: 290,415.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,893 : 190,449 = 190,449 : x
  2. Step 2: Convert to fraction form
    124,893/190,449 = 190,449/x
  3. Step 3: Cross multiply
    124,893x = 190,449 × 190,449
  4. Step 4: Simplify right side
    124,893x = 36,270,821,601
  5. Step 5: Solve for x
    x = 36,270,821,601/124,893
  6. Step 6: Final answer
    x = 290,415.17

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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.