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Finding the Third Proportional to 91,492 and 143,191

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Solution

The third proportional to 91,492 and 143,191 is: 224,103.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,492 : 143,191 = 143,191 : x
  2. Step 2: Convert to fraction form
    91,492/143,191 = 143,191/x
  3. Step 3: Cross multiply
    91,492x = 143,191 × 143,191
  4. Step 4: Simplify right side
    91,492x = 20,503,662,481
  5. Step 5: Solve for x
    x = 20,503,662,481/91,492
  6. Step 6: Final answer
    x = 224,103.34

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.