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Finding the Third Proportional to 112,928 and 169,576

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Solution

The third proportional to 112,928 and 169,576 is: 254,640.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,928 : 169,576 = 169,576 : x
  2. Step 2: Convert to fraction form
    112,928/169,576 = 169,576/x
  3. Step 3: Cross multiply
    112,928x = 169,576 × 169,576
  4. Step 4: Simplify right side
    112,928x = 28,756,019,776
  5. Step 5: Solve for x
    x = 28,756,019,776/112,928
  6. Step 6: Final answer
    x = 254,640.30

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.