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Finding the Third Proportional to 95,122 and 224,955

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Solution

The third proportional to 95,122 and 224,955 is: 531,998.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,122 : 224,955 = 224,955 : x
  2. Step 2: Convert to fraction form
    95,122/224,955 = 224,955/x
  3. Step 3: Cross multiply
    95,122x = 224,955 × 224,955
  4. Step 4: Simplify right side
    95,122x = 50,604,752,025
  5. Step 5: Solve for x
    x = 50,604,752,025/95,122
  6. Step 6: Final answer
    x = 531,998.40

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.