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Finding the Third Proportional to 70,751 and 106,117

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Solution

The third proportional to 70,751 and 106,117 is: 159,161.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,751 : 106,117 = 106,117 : x
  2. Step 2: Convert to fraction form
    70,751/106,117 = 106,117/x
  3. Step 3: Cross multiply
    70,751x = 106,117 × 106,117
  4. Step 4: Simplify right side
    70,751x = 11,260,817,689
  5. Step 5: Solve for x
    x = 11,260,817,689/70,751
  6. Step 6: Final answer
    x = 159,161.25

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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.