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Finding the Third Proportional to 50,130 and 72,826

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Solution

The third proportional to 50,130 and 72,826 is: 105,797.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,130 : 72,826 = 72,826 : x
  2. Step 2: Convert to fraction form
    50,130/72,826 = 72,826/x
  3. Step 3: Cross multiply
    50,130x = 72,826 × 72,826
  4. Step 4: Simplify right side
    50,130x = 5,303,626,276
  5. Step 5: Solve for x
    x = 5,303,626,276/50,130
  6. Step 6: Final answer
    x = 105,797.45

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.