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Finding the Third Proportional to 105,808 and 170,120

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Solution

The third proportional to 105,808 and 170,120 is: 273,521.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,808 : 170,120 = 170,120 : x
  2. Step 2: Convert to fraction form
    105,808/170,120 = 170,120/x
  3. Step 3: Cross multiply
    105,808x = 170,120 × 170,120
  4. Step 4: Simplify right side
    105,808x = 28,940,814,400
  5. Step 5: Solve for x
    x = 28,940,814,400/105,808
  6. Step 6: Final answer
    x = 273,521.99

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.