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Finding the Third Proportional to 52,024.50 and 110,529

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Solution

The third proportional to 52,024.50 and 110,529 is: 234,825.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,024.50 : 110,529 = 110,529 : x
  2. Step 2: Convert to fraction form
    52,024.50/110,529 = 110,529/x
  3. Step 3: Cross multiply
    52,024.50x = 110,529 × 110,529
  4. Step 4: Simplify right side
    52,024.50x = 12,216,659,841
  5. Step 5: Solve for x
    x = 12,216,659,841/52,024.50
  6. Step 6: Final answer
    x = 234,825.13

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.