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Finding the Third Proportional to 72,724 and 154,236

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Solution

The third proportional to 72,724 and 154,236 is: 327,109.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,724 : 154,236 = 154,236 : x
  2. Step 2: Convert to fraction form
    72,724/154,236 = 154,236/x
  3. Step 3: Cross multiply
    72,724x = 154,236 × 154,236
  4. Step 4: Simplify right side
    72,724x = 23,788,743,696
  5. Step 5: Solve for x
    x = 23,788,743,696/72,724
  6. Step 6: Final answer
    x = 327,109.95

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.