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Finding the Third Proportional to 102,859 and 136,483

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Solution

The third proportional to 102,859 and 136,483 is: 181,098.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,859 : 136,483 = 136,483 : x
  2. Step 2: Convert to fraction form
    102,859/136,483 = 136,483/x
  3. Step 3: Cross multiply
    102,859x = 136,483 × 136,483
  4. Step 4: Simplify right side
    102,859x = 18,627,609,289
  5. Step 5: Solve for x
    x = 18,627,609,289/102,859
  6. Step 6: Final answer
    x = 181,098.49

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.