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Finding the Third Proportional to 50,382 and 68,188.50

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Solution

The third proportional to 50,382 and 68,188.50 is: 92,288.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,382 : 68,188.50 = 68,188.50 : x
  2. Step 2: Convert to fraction form
    50,382/68,188.50 = 68,188.50/x
  3. Step 3: Cross multiply
    50,382x = 68,188.50 × 68,188.50
  4. Step 4: Simplify right side
    50,382x = 4,649,671,532.25
  5. Step 5: Solve for x
    x = 4,649,671,532.25/50,382
  6. Step 6: Final answer
    x = 92,288.35

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.