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Finding the Third Proportional to 74,836.41 and 161,667.14

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Solution

The third proportional to 74,836.41 and 161,667.14 is: 349,245.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,836.41 : 161,667.14 = 161,667.14 : x
  2. Step 2: Convert to fraction form
    74,836.41/161,667.14 = 161,667.14/x
  3. Step 3: Cross multiply
    74,836.41x = 161,667.14 × 161,667.14
  4. Step 4: Simplify right side
    74,836.41x = 26,136,264,357.86
  5. Step 5: Solve for x
    x = 26,136,264,357.86/74,836.41
  6. Step 6: Final answer
    x = 349,245.32

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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.