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Finding the Third Proportional to 47,118 and 70,653

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Solution

The third proportional to 47,118 and 70,653 is: 105,943.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,118 : 70,653 = 70,653 : x
  2. Step 2: Convert to fraction form
    47,118/70,653 = 70,653/x
  3. Step 3: Cross multiply
    47,118x = 70,653 × 70,653
  4. Step 4: Simplify right side
    47,118x = 4,991,846,409
  5. Step 5: Solve for x
    x = 4,991,846,409/47,118
  6. Step 6: Final answer
    x = 105,943.51

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.