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Finding the Third Proportional to 50,237 and 68,228.25

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Solution

The third proportional to 50,237 and 68,228.25 is: 92,662.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,237 : 68,228.25 = 68,228.25 : x
  2. Step 2: Convert to fraction form
    50,237/68,228.25 = 68,228.25/x
  3. Step 3: Cross multiply
    50,237x = 68,228.25 × 68,228.25
  4. Step 4: Simplify right side
    50,237x = 4,655,094,098.06
  5. Step 5: Solve for x
    x = 4,655,094,098.06/50,237
  6. Step 6: Final answer
    x = 92,662.66

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.