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Finding the Third Proportional to 96,756 and 149,446

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Solution

The third proportional to 96,756 and 149,446 is: 230,829.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,756 : 149,446 = 149,446 : x
  2. Step 2: Convert to fraction form
    96,756/149,446 = 149,446/x
  3. Step 3: Cross multiply
    96,756x = 149,446 × 149,446
  4. Step 4: Simplify right side
    96,756x = 22,334,106,916
  5. Step 5: Solve for x
    x = 22,334,106,916/96,756
  6. Step 6: Final answer
    x = 230,829.17

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.