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Finding the Third Proportional to 138,604.50 and 182,000.25

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Solution

The third proportional to 138,604.50 and 182,000.25 is: 238,982.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,604.50 : 182,000.25 = 182,000.25 : x
  2. Step 2: Convert to fraction form
    138,604.50/182,000.25 = 182,000.25/x
  3. Step 3: Cross multiply
    138,604.50x = 182,000.25 × 182,000.25
  4. Step 4: Simplify right side
    138,604.50x = 33,124,091,000.06
  5. Step 5: Solve for x
    x = 33,124,091,000.06/138,604.50
  6. Step 6: Final answer
    x = 238,982.80

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Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.