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Finding the Third Proportional to 82,160 and 168,206

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Solution

The third proportional to 82,160 and 168,206 is: 344,367.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,160 : 168,206 = 168,206 : x
  2. Step 2: Convert to fraction form
    82,160/168,206 = 168,206/x
  3. Step 3: Cross multiply
    82,160x = 168,206 × 168,206
  4. Step 4: Simplify right side
    82,160x = 28,293,258,436
  5. Step 5: Solve for x
    x = 28,293,258,436/82,160
  6. Step 6: Final answer
    x = 344,367.80

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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.