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Finding the Third Proportional to 111,472 and 174,606

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Solution

The third proportional to 111,472 and 174,606 is: 273,496.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,472 : 174,606 = 174,606 : x
  2. Step 2: Convert to fraction form
    111,472/174,606 = 174,606/x
  3. Step 3: Cross multiply
    111,472x = 174,606 × 174,606
  4. Step 4: Simplify right side
    111,472x = 30,487,255,236
  5. Step 5: Solve for x
    x = 30,487,255,236/111,472
  6. Step 6: Final answer
    x = 273,496.98

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.