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Finding the Third Proportional to 61,824 and 90,144

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Solution

The third proportional to 61,824 and 90,144 is: 131,436.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,824 : 90,144 = 90,144 : x
  2. Step 2: Convert to fraction form
    61,824/90,144 = 90,144/x
  3. Step 3: Cross multiply
    61,824x = 90,144 × 90,144
  4. Step 4: Simplify right side
    61,824x = 8,125,940,736
  5. Step 5: Solve for x
    x = 8,125,940,736/61,824
  6. Step 6: Final answer
    x = 131,436.67

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.