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Finding the Third Proportional to 112,828.50 and 174,136.50

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Solution

The third proportional to 112,828.50 and 174,136.50 is: 268,757.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,828.50 : 174,136.50 = 174,136.50 : x
  2. Step 2: Convert to fraction form
    112,828.50/174,136.50 = 174,136.50/x
  3. Step 3: Cross multiply
    112,828.50x = 174,136.50 × 174,136.50
  4. Step 4: Simplify right side
    112,828.50x = 30,323,520,632.25
  5. Step 5: Solve for x
    x = 30,323,520,632.25/112,828.50
  6. Step 6: Final answer
    x = 268,757.63

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.