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Finding the Third Proportional to 49,447 and 76,706

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Solution

The third proportional to 49,447 and 76,706 is: 118,992.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,447 : 76,706 = 76,706 : x
  2. Step 2: Convert to fraction form
    49,447/76,706 = 76,706/x
  3. Step 3: Cross multiply
    49,447x = 76,706 × 76,706
  4. Step 4: Simplify right side
    49,447x = 5,883,810,436
  5. Step 5: Solve for x
    x = 5,883,810,436/49,447
  6. Step 6: Final answer
    x = 118,992.26

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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.