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Finding the Third Proportional to 74,821.22 and 161,511.47

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Solution

The third proportional to 74,821.22 and 161,511.47 is: 348,643.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,821.22 : 161,511.47 = 161,511.47 : x
  2. Step 2: Convert to fraction form
    74,821.22/161,511.47 = 161,511.47/x
  3. Step 3: Cross multiply
    74,821.22x = 161,511.47 × 161,511.47
  4. Step 4: Simplify right side
    74,821.22x = 26,085,954,537.78
  5. Step 5: Solve for x
    x = 26,085,954,537.78/74,821.22
  6. Step 6: Final answer
    x = 348,643.81

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.