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Finding the Third Proportional to 71,886 and 155,004

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Solution

The third proportional to 71,886 and 155,004 is: 334,226.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,886 : 155,004 = 155,004 : x
  2. Step 2: Convert to fraction form
    71,886/155,004 = 155,004/x
  3. Step 3: Cross multiply
    71,886x = 155,004 × 155,004
  4. Step 4: Simplify right side
    71,886x = 24,026,240,016
  5. Step 5: Solve for x
    x = 24,026,240,016/71,886
  6. Step 6: Final answer
    x = 334,226.97

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