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Finding the Third Proportional to 136,523 and 203,730

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Solution

The third proportional to 136,523 and 203,730 is: 304,021.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,523 : 203,730 = 203,730 : x
  2. Step 2: Convert to fraction form
    136,523/203,730 = 203,730/x
  3. Step 3: Cross multiply
    136,523x = 203,730 × 203,730
  4. Step 4: Simplify right side
    136,523x = 41,505,912,900
  5. Step 5: Solve for x
    x = 41,505,912,900/136,523
  6. Step 6: Final answer
    x = 304,021.39

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.