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Finding the Third Proportional to 111,981 and 173,409

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Solution

The third proportional to 111,981 and 173,409 is: 268,533.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,981 : 173,409 = 173,409 : x
  2. Step 2: Convert to fraction form
    111,981/173,409 = 173,409/x
  3. Step 3: Cross multiply
    111,981x = 173,409 × 173,409
  4. Step 4: Simplify right side
    111,981x = 30,070,681,281
  5. Step 5: Solve for x
    x = 30,070,681,281/111,981
  6. Step 6: Final answer
    x = 268,533.78

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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.