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Finding the Third Proportional to 129,119.06 and 200,414.25

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Solution

The third proportional to 129,119.06 and 200,414.25 is: 311,076.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,119.06 : 200,414.25 = 200,414.25 : x
  2. Step 2: Convert to fraction form
    129,119.06/200,414.25 = 200,414.25/x
  3. Step 3: Cross multiply
    129,119.06x = 200,414.25 × 200,414.25
  4. Step 4: Simplify right side
    129,119.06x = 40,165,871,603.06
  5. Step 5: Solve for x
    x = 40,165,871,603.06/129,119.06
  6. Step 6: Final answer
    x = 311,076.23

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.