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Finding the Third Proportional to 72,467 and 154,886

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Solution

The third proportional to 72,467 and 154,886 is: 331,042.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,467 : 154,886 = 154,886 : x
  2. Step 2: Convert to fraction form
    72,467/154,886 = 154,886/x
  3. Step 3: Cross multiply
    72,467x = 154,886 × 154,886
  4. Step 4: Simplify right side
    72,467x = 23,989,672,996
  5. Step 5: Solve for x
    x = 23,989,672,996/72,467
  6. Step 6: Final answer
    x = 331,042.72

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.