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Finding the Third Proportional to 117,688 and 179,611

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Solution

The third proportional to 117,688 and 179,611 is: 274,115.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,688 : 179,611 = 179,611 : x
  2. Step 2: Convert to fraction form
    117,688/179,611 = 179,611/x
  3. Step 3: Cross multiply
    117,688x = 179,611 × 179,611
  4. Step 4: Simplify right side
    117,688x = 32,260,111,321
  5. Step 5: Solve for x
    x = 32,260,111,321/117,688
  6. Step 6: Final answer
    x = 274,115.55

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.