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Finding the Third Proportional to 133,026 and 194,577

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Solution

The third proportional to 133,026 and 194,577 is: 284,607.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,026 : 194,577 = 194,577 : x
  2. Step 2: Convert to fraction form
    133,026/194,577 = 194,577/x
  3. Step 3: Cross multiply
    133,026x = 194,577 × 194,577
  4. Step 4: Simplify right side
    133,026x = 37,860,208,929
  5. Step 5: Solve for x
    x = 37,860,208,929/133,026
  6. Step 6: Final answer
    x = 284,607.59

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.