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Finding the Third Proportional to 70,311 and 113,227.50

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Solution

The third proportional to 70,311 and 113,227.50 is: 182,339.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,311 : 113,227.50 = 113,227.50 : x
  2. Step 2: Convert to fraction form
    70,311/113,227.50 = 113,227.50/x
  3. Step 3: Cross multiply
    70,311x = 113,227.50 × 113,227.50
  4. Step 4: Simplify right side
    70,311x = 12,820,466,756.25
  5. Step 5: Solve for x
    x = 12,820,466,756.25/70,311
  6. Step 6: Final answer
    x = 182,339.42

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These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.