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Finding the Third Proportional to 65,198 and 97,554

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Solution

The third proportional to 65,198 and 97,554 is: 145,967.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,198 : 97,554 = 97,554 : x
  2. Step 2: Convert to fraction form
    65,198/97,554 = 97,554/x
  3. Step 3: Cross multiply
    65,198x = 97,554 × 97,554
  4. Step 4: Simplify right side
    65,198x = 9,516,782,916
  5. Step 5: Solve for x
    x = 9,516,782,916/65,198
  6. Step 6: Final answer
    x = 145,967.41

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.