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Finding the Third Proportional to 113,478 and 170,707

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Solution

The third proportional to 113,478 and 170,707 is: 256,797.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,478 : 170,707 = 170,707 : x
  2. Step 2: Convert to fraction form
    113,478/170,707 = 170,707/x
  3. Step 3: Cross multiply
    113,478x = 170,707 × 170,707
  4. Step 4: Simplify right side
    113,478x = 29,140,879,849
  5. Step 5: Solve for x
    x = 29,140,879,849/113,478
  6. Step 6: Final answer
    x = 256,797.62

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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.