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Finding the Third Proportional to 50,907 and 84,357.75

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Solution

The third proportional to 50,907 and 84,357.75 is: 139,788.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,907 : 84,357.75 = 84,357.75 : x
  2. Step 2: Convert to fraction form
    50,907/84,357.75 = 84,357.75/x
  3. Step 3: Cross multiply
    50,907x = 84,357.75 × 84,357.75
  4. Step 4: Simplify right side
    50,907x = 7,116,229,985.06
  5. Step 5: Solve for x
    x = 7,116,229,985.06/50,907
  6. Step 6: Final answer
    x = 139,788.83

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Why These Related Problems?

These problems maintain the same ratio (1.66) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.