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Finding the Third Proportional to 74,839 and 160,054

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Solution

The third proportional to 74,839 and 160,054 is: 342,298.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,839 : 160,054 = 160,054 : x
  2. Step 2: Convert to fraction form
    74,839/160,054 = 160,054/x
  3. Step 3: Cross multiply
    74,839x = 160,054 × 160,054
  4. Step 4: Simplify right side
    74,839x = 25,617,282,916
  5. Step 5: Solve for x
    x = 25,617,282,916/74,839
  6. Step 6: Final answer
    x = 342,298.57

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.