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Finding the Third Proportional to 109,838 and 160,869

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Solution

The third proportional to 109,838 and 160,869 is: 235,609.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,838 : 160,869 = 160,869 : x
  2. Step 2: Convert to fraction form
    109,838/160,869 = 160,869/x
  3. Step 3: Cross multiply
    109,838x = 160,869 × 160,869
  4. Step 4: Simplify right side
    109,838x = 25,878,835,161
  5. Step 5: Solve for x
    x = 25,878,835,161/109,838
  6. Step 6: Final answer
    x = 235,609.13

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.