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Finding the Third Proportional to 49,485 and 76,656

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Solution

The third proportional to 49,485 and 76,656 is: 118,745.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,485 : 76,656 = 76,656 : x
  2. Step 2: Convert to fraction form
    49,485/76,656 = 76,656/x
  3. Step 3: Cross multiply
    49,485x = 76,656 × 76,656
  4. Step 4: Simplify right side
    49,485x = 5,876,142,336
  5. Step 5: Solve for x
    x = 5,876,142,336/49,485
  6. Step 6: Final answer
    x = 118,745.93

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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.