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Finding the Third Proportional to 112,758 and 267,133

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Solution

The third proportional to 112,758 and 267,133 is: 632,860.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,758 : 267,133 = 267,133 : x
  2. Step 2: Convert to fraction form
    112,758/267,133 = 267,133/x
  3. Step 3: Cross multiply
    112,758x = 267,133 × 267,133
  4. Step 4: Simplify right side
    112,758x = 71,360,039,689
  5. Step 5: Solve for x
    x = 71,360,039,689/112,758
  6. Step 6: Final answer
    x = 632,860.10

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Why These Related Problems?

These problems maintain the same ratio (2.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.