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Finding the Third Proportional to 102,122 and 223,180

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Solution

The third proportional to 102,122 and 223,180 is: 487,743.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,122 : 223,180 = 223,180 : x
  2. Step 2: Convert to fraction form
    102,122/223,180 = 223,180/x
  3. Step 3: Cross multiply
    102,122x = 223,180 × 223,180
  4. Step 4: Simplify right side
    102,122x = 49,809,312,400
  5. Step 5: Solve for x
    x = 49,809,312,400/102,122
  6. Step 6: Final answer
    x = 487,743.21

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.