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Finding the Third Proportional to 95,548 and 223,120

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Solution

The third proportional to 95,548 and 223,120 is: 521,021.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,548 : 223,120 = 223,120 : x
  2. Step 2: Convert to fraction form
    95,548/223,120 = 223,120/x
  3. Step 3: Cross multiply
    95,548x = 223,120 × 223,120
  4. Step 4: Simplify right side
    95,548x = 49,782,534,400
  5. Step 5: Solve for x
    x = 49,782,534,400/95,548
  6. Step 6: Final answer
    x = 521,021.21

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.