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Finding the Third Proportional to 135,596 and 205,146

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Solution

The third proportional to 135,596 and 205,146 is: 310,369.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,596 : 205,146 = 205,146 : x
  2. Step 2: Convert to fraction form
    135,596/205,146 = 205,146/x
  3. Step 3: Cross multiply
    135,596x = 205,146 × 205,146
  4. Step 4: Simplify right side
    135,596x = 42,084,881,316
  5. Step 5: Solve for x
    x = 42,084,881,316/135,596
  6. Step 6: Final answer
    x = 310,369.64

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.