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Finding the Third Proportional to 136,224 and 204,524

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Solution

The third proportional to 136,224 and 204,524 is: 307,068.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,224 : 204,524 = 204,524 : x
  2. Step 2: Convert to fraction form
    136,224/204,524 = 204,524/x
  3. Step 3: Cross multiply
    136,224x = 204,524 × 204,524
  4. Step 4: Simplify right side
    136,224x = 41,830,066,576
  5. Step 5: Solve for x
    x = 41,830,066,576/136,224
  6. Step 6: Final answer
    x = 307,068.26

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.