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Finding the Third Proportional to 50,960 and 69,202

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Solution

The third proportional to 50,960 and 69,202 is: 93,974.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,960 : 69,202 = 69,202 : x
  2. Step 2: Convert to fraction form
    50,960/69,202 = 69,202/x
  3. Step 3: Cross multiply
    50,960x = 69,202 × 69,202
  4. Step 4: Simplify right side
    50,960x = 4,788,916,804
  5. Step 5: Solve for x
    x = 4,788,916,804/50,960
  6. Step 6: Final answer
    x = 93,974.03

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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.