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Finding the Third Proportional to 129,001 and 199,253

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Solution

The third proportional to 129,001 and 199,253 is: 307,763.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,001 : 199,253 = 199,253 : x
  2. Step 2: Convert to fraction form
    129,001/199,253 = 199,253/x
  3. Step 3: Cross multiply
    129,001x = 199,253 × 199,253
  4. Step 4: Simplify right side
    129,001x = 39,701,758,009
  5. Step 5: Solve for x
    x = 39,701,758,009/129,001
  6. Step 6: Final answer
    x = 307,763.18

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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.