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Finding the Third Proportional to 112,434 and 168,043

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Solution

The third proportional to 112,434 and 168,043 is: 251,155.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,434 : 168,043 = 168,043 : x
  2. Step 2: Convert to fraction form
    112,434/168,043 = 168,043/x
  3. Step 3: Cross multiply
    112,434x = 168,043 × 168,043
  4. Step 4: Simplify right side
    112,434x = 28,238,449,849
  5. Step 5: Solve for x
    x = 28,238,449,849/112,434
  6. Step 6: Final answer
    x = 251,155.79

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.