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Finding the Third Proportional to 49,741 and 77,133

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Solution

The third proportional to 49,741 and 77,133 is: 119,609.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,741 : 77,133 = 77,133 : x
  2. Step 2: Convert to fraction form
    49,741/77,133 = 77,133/x
  3. Step 3: Cross multiply
    49,741x = 77,133 × 77,133
  4. Step 4: Simplify right side
    49,741x = 5,949,499,689
  5. Step 5: Solve for x
    x = 5,949,499,689/49,741
  6. Step 6: Final answer
    x = 119,609.57

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.