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Finding the Third Proportional to 129,504 and 200,010

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Solution

The third proportional to 129,504 and 200,010 is: 308,901.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,504 : 200,010 = 200,010 : x
  2. Step 2: Convert to fraction form
    129,504/200,010 = 200,010/x
  3. Step 3: Cross multiply
    129,504x = 200,010 × 200,010
  4. Step 4: Simplify right side
    129,504x = 40,004,000,100
  5. Step 5: Solve for x
    x = 40,004,000,100/129,504
  6. Step 6: Final answer
    x = 308,901.66

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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.