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Finding the Third Proportional to 50,999.63 and 76,960.13

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Solution

The third proportional to 50,999.63 and 76,960.13 is: 116,135.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,999.63 : 76,960.13 = 76,960.13 : x
  2. Step 2: Convert to fraction form
    50,999.63/76,960.13 = 76,960.13/x
  3. Step 3: Cross multiply
    50,999.63x = 76,960.13 × 76,960.13
  4. Step 4: Simplify right side
    50,999.63x = 5,922,860,840.02
  5. Step 5: Solve for x
    x = 5,922,860,840.02/50,999.63
  6. Step 6: Final answer
    x = 116,135.38

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1.5x scale

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.