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Finding the Third Proportional to 85,354 and 122,947

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Solution

The third proportional to 85,354 and 122,947 is: 177,097.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,354 : 122,947 = 122,947 : x
  2. Step 2: Convert to fraction form
    85,354/122,947 = 122,947/x
  3. Step 3: Cross multiply
    85,354x = 122,947 × 122,947
  4. Step 4: Simplify right side
    85,354x = 15,115,964,809
  5. Step 5: Solve for x
    x = 15,115,964,809/85,354
  6. Step 6: Final answer
    x = 177,097.32

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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.