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Finding the Third Proportional to 103,669 and 160,085

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Solution

The third proportional to 103,669 and 160,085 is: 247,202.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,669 : 160,085 = 160,085 : x
  2. Step 2: Convert to fraction form
    103,669/160,085 = 160,085/x
  3. Step 3: Cross multiply
    103,669x = 160,085 × 160,085
  4. Step 4: Simplify right side
    103,669x = 25,627,207,225
  5. Step 5: Solve for x
    x = 25,627,207,225/103,669
  6. Step 6: Final answer
    x = 247,202.22

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.