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Finding the Third Proportional to 89,824 and 149,697.75

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Solution

The third proportional to 89,824 and 149,697.75 is: 249,481.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,824 : 149,697.75 = 149,697.75 : x
  2. Step 2: Convert to fraction form
    89,824/149,697.75 = 149,697.75/x
  3. Step 3: Cross multiply
    89,824x = 149,697.75 × 149,697.75
  4. Step 4: Simplify right side
    89,824x = 22,409,416,355.06
  5. Step 5: Solve for x
    x = 22,409,416,355.06/89,824
  6. Step 6: Final answer
    x = 249,481.39

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Why These Related Problems?

These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.