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Finding the Third Proportional to 27,154 and 59,236

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Solution

The third proportional to 27,154 and 59,236 is: 129,222.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,154 : 59,236 = 59,236 : x
  2. Step 2: Convert to fraction form
    27,154/59,236 = 59,236/x
  3. Step 3: Cross multiply
    27,154x = 59,236 × 59,236
  4. Step 4: Simplify right side
    27,154x = 3,508,903,696
  5. Step 5: Solve for x
    x = 3,508,903,696/27,154
  6. Step 6: Final answer
    x = 129,222.35

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.