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Finding the Third Proportional to 112,880 and 168,768

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Solution

The third proportional to 112,880 and 168,768 is: 252,326.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,880 : 168,768 = 168,768 : x
  2. Step 2: Convert to fraction form
    112,880/168,768 = 168,768/x
  3. Step 3: Cross multiply
    112,880x = 168,768 × 168,768
  4. Step 4: Simplify right side
    112,880x = 28,482,637,824
  5. Step 5: Solve for x
    x = 28,482,637,824/112,880
  6. Step 6: Final answer
    x = 252,326.70

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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.