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Finding the Third Proportional to 128,202 and 199,026

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Solution

The third proportional to 128,202 and 199,026 is: 308,976.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,202 : 199,026 = 199,026 : x
  2. Step 2: Convert to fraction form
    128,202/199,026 = 199,026/x
  3. Step 3: Cross multiply
    128,202x = 199,026 × 199,026
  4. Step 4: Simplify right side
    128,202x = 39,611,348,676
  5. Step 5: Solve for x
    x = 39,611,348,676/128,202
  6. Step 6: Final answer
    x = 308,976.06

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.