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Finding the Third Proportional to 74,010 and 159,837

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Solution

The third proportional to 74,010 and 159,837 is: 345,194.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,010 : 159,837 = 159,837 : x
  2. Step 2: Convert to fraction form
    74,010/159,837 = 159,837/x
  3. Step 3: Cross multiply
    74,010x = 159,837 × 159,837
  4. Step 4: Simplify right side
    74,010x = 25,547,866,569
  5. Step 5: Solve for x
    x = 25,547,866,569/74,010
  6. Step 6: Final answer
    x = 345,194.79

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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.