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Finding the Third Proportional to 82,652 and 169,658

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Solution

The third proportional to 82,652 and 169,658 is: 348,253.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,652 : 169,658 = 169,658 : x
  2. Step 2: Convert to fraction form
    82,652/169,658 = 169,658/x
  3. Step 3: Cross multiply
    82,652x = 169,658 × 169,658
  4. Step 4: Simplify right side
    82,652x = 28,783,836,964
  5. Step 5: Solve for x
    x = 28,783,836,964/82,652
  6. Step 6: Final answer
    x = 348,253.36

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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.