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Finding the Third Proportional to 111,918 and 173,550

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Solution

The third proportional to 111,918 and 173,550 is: 269,122.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,918 : 173,550 = 173,550 : x
  2. Step 2: Convert to fraction form
    111,918/173,550 = 173,550/x
  3. Step 3: Cross multiply
    111,918x = 173,550 × 173,550
  4. Step 4: Simplify right side
    111,918x = 30,119,602,500
  5. Step 5: Solve for x
    x = 30,119,602,500/111,918
  6. Step 6: Final answer
    x = 269,122.06

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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.