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Finding the Third Proportional to 121,346 and 183,717

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Solution

The third proportional to 121,346 and 183,717 is: 278,146.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,346 : 183,717 = 183,717 : x
  2. Step 2: Convert to fraction form
    121,346/183,717 = 183,717/x
  3. Step 3: Cross multiply
    121,346x = 183,717 × 183,717
  4. Step 4: Simplify right side
    121,346x = 33,751,936,089
  5. Step 5: Solve for x
    x = 33,751,936,089/121,346
  6. Step 6: Final answer
    x = 278,146.26

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.