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Finding the Third Proportional to 74,725.75 and 161,256.38

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Solution

The third proportional to 74,725.75 and 161,256.38 is: 347,987.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,725.75 : 161,256.38 = 161,256.38 : x
  2. Step 2: Convert to fraction form
    74,725.75/161,256.38 = 161,256.38/x
  3. Step 3: Cross multiply
    74,725.75x = 161,256.38 × 161,256.38
  4. Step 4: Simplify right side
    74,725.75x = 26,003,618,478.14
  5. Step 5: Solve for x
    x = 26,003,618,478.14/74,725.75
  6. Step 6: Final answer
    x = 347,987.39

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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.