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Finding the Third Proportional to 82,038 and 193,159

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Solution

The third proportional to 82,038 and 193,159 is: 454,794.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,038 : 193,159 = 193,159 : x
  2. Step 2: Convert to fraction form
    82,038/193,159 = 193,159/x
  3. Step 3: Cross multiply
    82,038x = 193,159 × 193,159
  4. Step 4: Simplify right side
    82,038x = 37,310,399,281
  5. Step 5: Solve for x
    x = 37,310,399,281/82,038
  6. Step 6: Final answer
    x = 454,794.11

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.