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Finding the Third Proportional to 95,922 and 224,043

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Solution

The third proportional to 95,922 and 224,043 is: 523,292.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,922 : 224,043 = 224,043 : x
  2. Step 2: Convert to fraction form
    95,922/224,043 = 224,043/x
  3. Step 3: Cross multiply
    95,922x = 224,043 × 224,043
  4. Step 4: Simplify right side
    95,922x = 50,195,265,849
  5. Step 5: Solve for x
    x = 50,195,265,849/95,922
  6. Step 6: Final answer
    x = 523,292.53

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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.