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Finding the Third Proportional to 105,451 and 248,921

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Solution

The third proportional to 105,451 and 248,921 is: 587,587.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,451 : 248,921 = 248,921 : x
  2. Step 2: Convert to fraction form
    105,451/248,921 = 248,921/x
  3. Step 3: Cross multiply
    105,451x = 248,921 × 248,921
  4. Step 4: Simplify right side
    105,451x = 61,961,664,241
  5. Step 5: Solve for x
    x = 61,961,664,241/105,451
  6. Step 6: Final answer
    x = 587,587.26

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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.