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Finding the Third Proportional to 27,095 and 65,273

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Solution

The third proportional to 27,095 and 65,273 is: 157,245.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,095 : 65,273 = 65,273 : x
  2. Step 2: Convert to fraction form
    27,095/65,273 = 65,273/x
  3. Step 3: Cross multiply
    27,095x = 65,273 × 65,273
  4. Step 4: Simplify right side
    27,095x = 4,260,564,529
  5. Step 5: Solve for x
    x = 4,260,564,529/27,095
  6. Step 6: Final answer
    x = 157,245.42

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Why These Related Problems?

These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.