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Finding the Third Proportional to 104,897 and 160,869

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Solution

The third proportional to 104,897 and 160,869 is: 246,707.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,897 : 160,869 = 160,869 : x
  2. Step 2: Convert to fraction form
    104,897/160,869 = 160,869/x
  3. Step 3: Cross multiply
    104,897x = 160,869 × 160,869
  4. Step 4: Simplify right side
    104,897x = 25,878,835,161
  5. Step 5: Solve for x
    x = 25,878,835,161/104,897
  6. Step 6: Final answer
    x = 246,707.10

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.