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Finding the Third Proportional to 113,865 and 170,271

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Solution

The third proportional to 113,865 and 170,271 is: 254,619.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,865 : 170,271 = 170,271 : x
  2. Step 2: Convert to fraction form
    113,865/170,271 = 170,271/x
  3. Step 3: Cross multiply
    113,865x = 170,271 × 170,271
  4. Step 4: Simplify right side
    113,865x = 28,992,213,441
  5. Step 5: Solve for x
    x = 28,992,213,441/113,865
  6. Step 6: Final answer
    x = 254,619.18

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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.