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Finding the Third Proportional to 113,247 and 170,154

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Solution

The third proportional to 113,247 and 170,154 is: 255,656.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,247 : 170,154 = 170,154 : x
  2. Step 2: Convert to fraction form
    113,247/170,154 = 170,154/x
  3. Step 3: Cross multiply
    113,247x = 170,154 × 170,154
  4. Step 4: Simplify right side
    113,247x = 28,952,383,716
  5. Step 5: Solve for x
    x = 28,952,383,716/113,247
  6. Step 6: Final answer
    x = 255,656.96

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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.