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Finding the Third Proportional to 74,189.25 and 175,019.06

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Solution

The third proportional to 74,189.25 and 175,019.06 is: 412,885.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,189.25 : 175,019.06 = 175,019.06 : x
  2. Step 2: Convert to fraction form
    74,189.25/175,019.06 = 175,019.06/x
  3. Step 3: Cross multiply
    74,189.25x = 175,019.06 × 175,019.06
  4. Step 4: Simplify right side
    74,189.25x = 30,631,672,238.38
  5. Step 5: Solve for x
    x = 30,631,672,238.38/74,189.25
  6. Step 6: Final answer
    x = 412,885.59

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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.