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Finding the Third Proportional to 34,163 and 74,236

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Solution

The third proportional to 34,163 and 74,236 is: 161,314.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,163 : 74,236 = 74,236 : x
  2. Step 2: Convert to fraction form
    34,163/74,236 = 74,236/x
  3. Step 3: Cross multiply
    34,163x = 74,236 × 74,236
  4. Step 4: Simplify right side
    34,163x = 5,510,983,696
  5. Step 5: Solve for x
    x = 5,510,983,696/34,163
  6. Step 6: Final answer
    x = 161,314.40

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.