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Finding the Third Proportional to 89,300 and 122,448

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Solution

The third proportional to 89,300 and 122,448 is: 167,900.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,300 : 122,448 = 122,448 : x
  2. Step 2: Convert to fraction form
    89,300/122,448 = 122,448/x
  3. Step 3: Cross multiply
    89,300x = 122,448 × 122,448
  4. Step 4: Simplify right side
    89,300x = 14,993,512,704
  5. Step 5: Solve for x
    x = 14,993,512,704/89,300
  6. Step 6: Final answer
    x = 167,900.48

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.