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Finding the Third Proportional to 133,129 and 201,080

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Solution

The third proportional to 133,129 and 201,080 is: 303,714.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,129 : 201,080 = 201,080 : x
  2. Step 2: Convert to fraction form
    133,129/201,080 = 201,080/x
  3. Step 3: Cross multiply
    133,129x = 201,080 × 201,080
  4. Step 4: Simplify right side
    133,129x = 40,433,166,400
  5. Step 5: Solve for x
    x = 40,433,166,400/133,129
  6. Step 6: Final answer
    x = 303,714.19

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.