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Finding the Third Proportional to 129,600 and 200,142

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Solution

The third proportional to 129,600 and 200,142 is: 309,080.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,600 : 200,142 = 200,142 : x
  2. Step 2: Convert to fraction form
    129,600/200,142 = 200,142/x
  3. Step 3: Cross multiply
    129,600x = 200,142 × 200,142
  4. Step 4: Simplify right side
    129,600x = 40,056,820,164
  5. Step 5: Solve for x
    x = 40,056,820,164/129,600
  6. Step 6: Final answer
    x = 309,080.40

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.