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Finding the Third Proportional to 74,837 and 160,051

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Solution

The third proportional to 74,837 and 160,051 is: 342,294.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,837 : 160,051 = 160,051 : x
  2. Step 2: Convert to fraction form
    74,837/160,051 = 160,051/x
  3. Step 3: Cross multiply
    74,837x = 160,051 × 160,051
  4. Step 4: Simplify right side
    74,837x = 25,616,322,601
  5. Step 5: Solve for x
    x = 25,616,322,601/74,837
  6. Step 6: Final answer
    x = 342,294.89

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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.