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Finding the Third Proportional to 53,198 and 69,024

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Solution

The third proportional to 53,198 and 69,024 is: 89,558.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,198 : 69,024 = 69,024 : x
  2. Step 2: Convert to fraction form
    53,198/69,024 = 69,024/x
  3. Step 3: Cross multiply
    53,198x = 69,024 × 69,024
  4. Step 4: Simplify right side
    53,198x = 4,764,312,576
  5. Step 5: Solve for x
    x = 4,764,312,576/53,198
  6. Step 6: Final answer
    x = 89,558.11

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Why These Related Problems?

These problems maintain the same ratio (1.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.