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Finding the Third Proportional to 82,155 and 168,203

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Solution

The third proportional to 82,155 and 168,203 is: 344,376.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,155 : 168,203 = 168,203 : x
  2. Step 2: Convert to fraction form
    82,155/168,203 = 168,203/x
  3. Step 3: Cross multiply
    82,155x = 168,203 × 168,203
  4. Step 4: Simplify right side
    82,155x = 28,292,249,209
  5. Step 5: Solve for x
    x = 28,292,249,209/82,155
  6. Step 6: Final answer
    x = 344,376.47

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.