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Finding the Third Proportional to 49,537.50 and 106,971

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Solution

The third proportional to 49,537.50 and 106,971 is: 230,992.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,537.50 : 106,971 = 106,971 : x
  2. Step 2: Convert to fraction form
    49,537.50/106,971 = 106,971/x
  3. Step 3: Cross multiply
    49,537.50x = 106,971 × 106,971
  4. Step 4: Simplify right side
    49,537.50x = 11,442,794,841
  5. Step 5: Solve for x
    x = 11,442,794,841/49,537.50
  6. Step 6: Final answer
    x = 230,992.58

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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.