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Finding the Third Proportional to 112,464 and 168,728

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Solution

The third proportional to 112,464 and 168,728 is: 253,140.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,464 : 168,728 = 168,728 : x
  2. Step 2: Convert to fraction form
    112,464/168,728 = 168,728/x
  3. Step 3: Cross multiply
    112,464x = 168,728 × 168,728
  4. Step 4: Simplify right side
    112,464x = 28,469,137,984
  5. Step 5: Solve for x
    x = 28,469,137,984/112,464
  6. Step 6: Final answer
    x = 253,140.01

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.