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Finding the Third Proportional to 70,006 and 91,886

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Solution

The third proportional to 70,006 and 91,886 is: 120,604.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,006 : 91,886 = 91,886 : x
  2. Step 2: Convert to fraction form
    70,006/91,886 = 91,886/x
  3. Step 3: Cross multiply
    70,006x = 91,886 × 91,886
  4. Step 4: Simplify right side
    70,006x = 8,443,036,996
  5. Step 5: Solve for x
    x = 8,443,036,996/70,006
  6. Step 6: Final answer
    x = 120,604.48

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