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Finding the Third Proportional to 85,351 and 122,942

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Solution

The third proportional to 85,351 and 122,942 is: 177,089.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,351 : 122,942 = 122,942 : x
  2. Step 2: Convert to fraction form
    85,351/122,942 = 122,942/x
  3. Step 3: Cross multiply
    85,351x = 122,942 × 122,942
  4. Step 4: Simplify right side
    85,351x = 15,114,735,364
  5. Step 5: Solve for x
    x = 15,114,735,364/85,351
  6. Step 6: Final answer
    x = 177,089.14

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.