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Finding the Third Proportional to 134,122 and 201,199

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Solution

The third proportional to 134,122 and 201,199 is: 301,822.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,122 : 201,199 = 201,199 : x
  2. Step 2: Convert to fraction form
    134,122/201,199 = 201,199/x
  3. Step 3: Cross multiply
    134,122x = 201,199 × 201,199
  4. Step 4: Simplify right side
    134,122x = 40,481,037,601
  5. Step 5: Solve for x
    x = 40,481,037,601/134,122
  6. Step 6: Final answer
    x = 301,822.50

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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.