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Finding the Third Proportional to 109,600 and 160,943

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Solution

The third proportional to 109,600 and 160,943 is: 236,338.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,600 : 160,943 = 160,943 : x
  2. Step 2: Convert to fraction form
    109,600/160,943 = 160,943/x
  3. Step 3: Cross multiply
    109,600x = 160,943 × 160,943
  4. Step 4: Simplify right side
    109,600x = 25,902,649,249
  5. Step 5: Solve for x
    x = 25,902,649,249/109,600
  6. Step 6: Final answer
    x = 236,338.04

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.