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Finding the Third Proportional to 53,977.50 and 110,101.50

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Solution

The third proportional to 53,977.50 and 110,101.50 is: 224,581.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,977.50 : 110,101.50 = 110,101.50 : x
  2. Step 2: Convert to fraction form
    53,977.50/110,101.50 = 110,101.50/x
  3. Step 3: Cross multiply
    53,977.50x = 110,101.50 × 110,101.50
  4. Step 4: Simplify right side
    53,977.50x = 12,122,340,302.25
  5. Step 5: Solve for x
    x = 12,122,340,302.25/53,977.50
  6. Step 6: Final answer
    x = 224,581.36

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.