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Finding the Third Proportional to 74,849 and 160,072

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Solution

The third proportional to 74,849 and 160,072 is: 342,329.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,849 : 160,072 = 160,072 : x
  2. Step 2: Convert to fraction form
    74,849/160,072 = 160,072/x
  3. Step 3: Cross multiply
    74,849x = 160,072 × 160,072
  4. Step 4: Simplify right side
    74,849x = 25,623,045,184
  5. Step 5: Solve for x
    x = 25,623,045,184/74,849
  6. Step 6: Final answer
    x = 342,329.83

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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.