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Finding the Third Proportional to 74,194.69 and 174,968.81

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Solution

The third proportional to 74,194.69 and 174,968.81 is: 412,618.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,194.69 : 174,968.81 = 174,968.81 : x
  2. Step 2: Convert to fraction form
    74,194.69/174,968.81 = 174,968.81/x
  3. Step 3: Cross multiply
    74,194.69x = 174,968.81 × 174,968.81
  4. Step 4: Simplify right side
    74,194.69x = 30,614,085,347.66
  5. Step 5: Solve for x
    x = 30,614,085,347.66/74,194.69
  6. Step 6: Final answer
    x = 412,618.29

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.