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Finding the Third Proportional to 74,888 and 159,012

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Solution

The third proportional to 74,888 and 159,012 is: 337,635.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,888 : 159,012 = 159,012 : x
  2. Step 2: Convert to fraction form
    74,888/159,012 = 159,012/x
  3. Step 3: Cross multiply
    74,888x = 159,012 × 159,012
  4. Step 4: Simplify right side
    74,888x = 25,284,816,144
  5. Step 5: Solve for x
    x = 25,284,816,144/74,888
  6. Step 6: Final answer
    x = 337,635.08

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.