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Finding the Third Proportional to 71,254 and 111,194

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Solution

The third proportional to 71,254 and 111,194 is: 173,521.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,254 : 111,194 = 111,194 : x
  2. Step 2: Convert to fraction form
    71,254/111,194 = 111,194/x
  3. Step 3: Cross multiply
    71,254x = 111,194 × 111,194
  4. Step 4: Simplify right side
    71,254x = 12,364,105,636
  5. Step 5: Solve for x
    x = 12,364,105,636/71,254
  6. Step 6: Final answer
    x = 173,521.57

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.