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Finding the Third Proportional to 102,553 and 155,195

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Solution

The third proportional to 102,553 and 155,195 is: 234,858.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,553 : 155,195 = 155,195 : x
  2. Step 2: Convert to fraction form
    102,553/155,195 = 155,195/x
  3. Step 3: Cross multiply
    102,553x = 155,195 × 155,195
  4. Step 4: Simplify right side
    102,553x = 24,085,488,025
  5. Step 5: Solve for x
    x = 24,085,488,025/102,553
  6. Step 6: Final answer
    x = 234,858.93

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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.