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Finding the Third Proportional to 133,070 and 200,986

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Solution

The third proportional to 133,070 and 200,986 is: 303,564.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,070 : 200,986 = 200,986 : x
  2. Step 2: Convert to fraction form
    133,070/200,986 = 200,986/x
  3. Step 3: Cross multiply
    133,070x = 200,986 × 200,986
  4. Step 4: Simplify right side
    133,070x = 40,395,372,196
  5. Step 5: Solve for x
    x = 40,395,372,196/133,070
  6. Step 6: Final answer
    x = 303,564.83

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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.