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Finding the Third Proportional to 70,818 and 106,392

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Solution

The third proportional to 70,818 and 106,392 is: 159,835.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,818 : 106,392 = 106,392 : x
  2. Step 2: Convert to fraction form
    70,818/106,392 = 106,392/x
  3. Step 3: Cross multiply
    70,818x = 106,392 × 106,392
  4. Step 4: Simplify right side
    70,818x = 11,319,257,664
  5. Step 5: Solve for x
    x = 11,319,257,664/70,818
  6. Step 6: Final answer
    x = 159,835.88

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