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Finding the Third Proportional to 55,224 and 84,749

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Solution

The third proportional to 55,224 and 84,749 is: 130,059.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,224 : 84,749 = 84,749 : x
  2. Step 2: Convert to fraction form
    55,224/84,749 = 84,749/x
  3. Step 3: Cross multiply
    55,224x = 84,749 × 84,749
  4. Step 4: Simplify right side
    55,224x = 7,182,393,001
  5. Step 5: Solve for x
    x = 7,182,393,001/55,224
  6. Step 6: Final answer
    x = 130,059.27

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.