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Finding the Third Proportional to 102,545 and 155,183

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Solution

The third proportional to 102,545 and 155,183 is: 234,840.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,545 : 155,183 = 155,183 : x
  2. Step 2: Convert to fraction form
    102,545/155,183 = 155,183/x
  3. Step 3: Cross multiply
    102,545x = 155,183 × 155,183
  4. Step 4: Simplify right side
    102,545x = 24,081,763,489
  5. Step 5: Solve for x
    x = 24,081,763,489/102,545
  6. Step 6: Final answer
    x = 234,840.93

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.