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Finding the Third Proportional to 83,810 and 170,050

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Solution

The third proportional to 83,810 and 170,050 is: 345,030.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,810 : 170,050 = 170,050 : x
  2. Step 2: Convert to fraction form
    83,810/170,050 = 170,050/x
  3. Step 3: Cross multiply
    83,810x = 170,050 × 170,050
  4. Step 4: Simplify right side
    83,810x = 28,917,002,500
  5. Step 5: Solve for x
    x = 28,917,002,500/83,810
  6. Step 6: Final answer
    x = 345,030.46

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.