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Finding the Third Proportional to 105,087 and 224,931

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Solution

The third proportional to 105,087 and 224,931 is: 481,448.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,087 : 224,931 = 224,931 : x
  2. Step 2: Convert to fraction form
    105,087/224,931 = 224,931/x
  3. Step 3: Cross multiply
    105,087x = 224,931 × 224,931
  4. Step 4: Simplify right side
    105,087x = 50,593,954,761
  5. Step 5: Solve for x
    x = 50,593,954,761/105,087
  6. Step 6: Final answer
    x = 481,448.27

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.