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Finding the Third Proportional to 133,000.31 and 182,889.56

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Solution

The third proportional to 133,000.31 and 182,889.56 is: 251,492.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,000.31 : 182,889.56 = 182,889.56 : x
  2. Step 2: Convert to fraction form
    133,000.31/182,889.56 = 182,889.56/x
  3. Step 3: Cross multiply
    133,000.31x = 182,889.56 × 182,889.56
  4. Step 4: Simplify right side
    133,000.31x = 33,448,592,071.44
  5. Step 5: Solve for x
    x = 33,448,592,071.44/133,000.31
  6. Step 6: Final answer
    x = 251,492.58

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.