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Finding the Third Proportional to 111,551 and 163,606

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Solution

The third proportional to 111,551 and 163,606 is: 239,952.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,551 : 163,606 = 163,606 : x
  2. Step 2: Convert to fraction form
    111,551/163,606 = 163,606/x
  3. Step 3: Cross multiply
    111,551x = 163,606 × 163,606
  4. Step 4: Simplify right side
    111,551x = 26,766,923,236
  5. Step 5: Solve for x
    x = 26,766,923,236/111,551
  6. Step 6: Final answer
    x = 239,952.34

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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.