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Finding the Third Proportional to 102,858 and 156,654

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Solution

The third proportional to 102,858 and 156,654 is: 238,585.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,858 : 156,654 = 156,654 : x
  2. Step 2: Convert to fraction form
    102,858/156,654 = 156,654/x
  3. Step 3: Cross multiply
    102,858x = 156,654 × 156,654
  4. Step 4: Simplify right side
    102,858x = 24,540,475,716
  5. Step 5: Solve for x
    x = 24,540,475,716/102,858
  6. Step 6: Final answer
    x = 238,585.97

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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.