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Finding the Third Proportional to 105,360 and 251,868

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Solution

The third proportional to 105,360 and 251,868 is: 602,102.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,360 : 251,868 = 251,868 : x
  2. Step 2: Convert to fraction form
    105,360/251,868 = 251,868/x
  3. Step 3: Cross multiply
    105,360x = 251,868 × 251,868
  4. Step 4: Simplify right side
    105,360x = 63,437,489,424
  5. Step 5: Solve for x
    x = 63,437,489,424/105,360
  6. Step 6: Final answer
    x = 602,102.22

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Why These Related Problems?

These problems maintain the same ratio (2.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.