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Finding the Third Proportional to 112,434 and 170,952.75

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Solution

The third proportional to 112,434 and 170,952.75 is: 259,928.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,434 : 170,952.75 = 170,952.75 : x
  2. Step 2: Convert to fraction form
    112,434/170,952.75 = 170,952.75/x
  3. Step 3: Cross multiply
    112,434x = 170,952.75 × 170,952.75
  4. Step 4: Simplify right side
    112,434x = 29,224,842,732.56
  5. Step 5: Solve for x
    x = 29,224,842,732.56/112,434
  6. Step 6: Final answer
    x = 259,928.87

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.