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Finding the Third Proportional to 133,079 and 202,159

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Solution

The third proportional to 133,079 and 202,159 is: 307,097.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,079 : 202,159 = 202,159 : x
  2. Step 2: Convert to fraction form
    133,079/202,159 = 202,159/x
  3. Step 3: Cross multiply
    133,079x = 202,159 × 202,159
  4. Step 4: Simplify right side
    133,079x = 40,868,261,281
  5. Step 5: Solve for x
    x = 40,868,261,281/133,079
  6. Step 6: Final answer
    x = 307,097.75

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.