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Finding the Third Proportional to 80,856 and 170,090

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Solution

The third proportional to 80,856 and 170,090 is: 357,804.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,856 : 170,090 = 170,090 : x
  2. Step 2: Convert to fraction form
    80,856/170,090 = 170,090/x
  3. Step 3: Cross multiply
    80,856x = 170,090 × 170,090
  4. Step 4: Simplify right side
    80,856x = 28,930,608,100
  5. Step 5: Solve for x
    x = 28,930,608,100/80,856
  6. Step 6: Final answer
    x = 357,804.10

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.