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Finding the Third Proportional to 50,594 and 76,054

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Solution

The third proportional to 50,594 and 76,054 is: 114,326.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,594 : 76,054 = 76,054 : x
  2. Step 2: Convert to fraction form
    50,594/76,054 = 76,054/x
  3. Step 3: Cross multiply
    50,594x = 76,054 × 76,054
  4. Step 4: Simplify right side
    50,594x = 5,784,210,916
  5. Step 5: Solve for x
    x = 5,784,210,916/50,594
  6. Step 6: Final answer
    x = 114,326.03

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.