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Finding the Third Proportional to 51,130 and 111,260

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Solution

The third proportional to 51,130 and 111,260 is: 242,104.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,130 : 111,260 = 111,260 : x
  2. Step 2: Convert to fraction form
    51,130/111,260 = 111,260/x
  3. Step 3: Cross multiply
    51,130x = 111,260 × 111,260
  4. Step 4: Simplify right side
    51,130x = 12,378,787,600
  5. Step 5: Solve for x
    x = 12,378,787,600/51,130
  6. Step 6: Final answer
    x = 242,104.20

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.