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Finding the Third Proportional to 102,120 and 223,176

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Solution

The third proportional to 102,120 and 223,176 is: 487,735.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,120 : 223,176 = 223,176 : x
  2. Step 2: Convert to fraction form
    102,120/223,176 = 223,176/x
  3. Step 3: Cross multiply
    102,120x = 223,176 × 223,176
  4. Step 4: Simplify right side
    102,120x = 49,807,526,976
  5. Step 5: Solve for x
    x = 49,807,526,976/102,120
  6. Step 6: Final answer
    x = 487,735.28

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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.