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Finding the Third Proportional to 121,414 and 183,816

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Solution

The third proportional to 121,414 and 183,816 is: 278,290.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,414 : 183,816 = 183,816 : x
  2. Step 2: Convert to fraction form
    121,414/183,816 = 183,816/x
  3. Step 3: Cross multiply
    121,414x = 183,816 × 183,816
  4. Step 4: Simplify right side
    121,414x = 33,788,321,856
  5. Step 5: Solve for x
    x = 33,788,321,856/121,414
  6. Step 6: Final answer
    x = 278,290.16

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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.