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Finding the Third Proportional to 49,158 and 74,143

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Solution

The third proportional to 49,158 and 74,143 is: 111,826.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,158 : 74,143 = 74,143 : x
  2. Step 2: Convert to fraction form
    49,158/74,143 = 74,143/x
  3. Step 3: Cross multiply
    49,158x = 74,143 × 74,143
  4. Step 4: Simplify right side
    49,158x = 5,497,184,449
  5. Step 5: Solve for x
    x = 5,497,184,449/49,158
  6. Step 6: Final answer
    x = 111,826.85

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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.