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Finding the Third Proportional to 103,512 and 160,324

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Solution

The third proportional to 103,512 and 160,324 is: 248,316.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,512 : 160,324 = 160,324 : x
  2. Step 2: Convert to fraction form
    103,512/160,324 = 160,324/x
  3. Step 3: Cross multiply
    103,512x = 160,324 × 160,324
  4. Step 4: Simplify right side
    103,512x = 25,703,784,976
  5. Step 5: Solve for x
    x = 25,703,784,976/103,512
  6. Step 6: Final answer
    x = 248,316.96

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.