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Finding the Third Proportional to 71,494.88 and 154,072.13

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Solution

The third proportional to 71,494.88 and 154,072.13 is: 332,026.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,494.88 : 154,072.13 = 154,072.13 : x
  2. Step 2: Convert to fraction form
    71,494.88/154,072.13 = 154,072.13/x
  3. Step 3: Cross multiply
    71,494.88x = 154,072.13 × 154,072.13
  4. Step 4: Simplify right side
    71,494.88x = 23,738,219,702.02
  5. Step 5: Solve for x
    x = 23,738,219,702.02/71,494.88
  6. Step 6: Final answer
    x = 332,026.87

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.