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Finding the Third Proportional to 135,649.50 and 199,554

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Solution

The third proportional to 135,649.50 and 199,554 is: 293,563.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,649.50 : 199,554 = 199,554 : x
  2. Step 2: Convert to fraction form
    135,649.50/199,554 = 199,554/x
  3. Step 3: Cross multiply
    135,649.50x = 199,554 × 199,554
  4. Step 4: Simplify right side
    135,649.50x = 39,821,798,916
  5. Step 5: Solve for x
    x = 39,821,798,916/135,649.50
  6. Step 6: Final answer
    x = 293,563.92

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.