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Finding the Third Proportional to 50,747 and 76,130

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Solution

The third proportional to 50,747 and 76,130 is: 114,209.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,747 : 76,130 = 76,130 : x
  2. Step 2: Convert to fraction form
    50,747/76,130 = 76,130/x
  3. Step 3: Cross multiply
    50,747x = 76,130 × 76,130
  4. Step 4: Simplify right side
    50,747x = 5,795,776,900
  5. Step 5: Solve for x
    x = 5,795,776,900/50,747
  6. Step 6: Final answer
    x = 114,209.25

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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.