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Finding the Third Proportional to 49,134 and 74,169

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Solution

The third proportional to 49,134 and 74,169 is: 111,959.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,134 : 74,169 = 74,169 : x
  2. Step 2: Convert to fraction form
    49,134/74,169 = 74,169/x
  3. Step 3: Cross multiply
    49,134x = 74,169 × 74,169
  4. Step 4: Simplify right side
    49,134x = 5,501,040,561
  5. Step 5: Solve for x
    x = 5,501,040,561/49,134
  6. Step 6: Final answer
    x = 111,959.96

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.