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Finding the Third Proportional to 34,854 and 76,236

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Solution

The third proportional to 34,854 and 76,236 is: 166,750.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,854 : 76,236 = 76,236 : x
  2. Step 2: Convert to fraction form
    34,854/76,236 = 76,236/x
  3. Step 3: Cross multiply
    34,854x = 76,236 × 76,236
  4. Step 4: Simplify right side
    34,854x = 5,811,927,696
  5. Step 5: Solve for x
    x = 5,811,927,696/34,854
  6. Step 6: Final answer
    x = 166,750.67

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.