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Finding the Third Proportional to 108,145.50 and 144,660.50

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Solution

The third proportional to 108,145.50 and 144,660.50 is: 193,504.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,145.50 : 144,660.50 = 144,660.50 : x
  2. Step 2: Convert to fraction form
    108,145.50/144,660.50 = 144,660.50/x
  3. Step 3: Cross multiply
    108,145.50x = 144,660.50 × 144,660.50
  4. Step 4: Simplify right side
    108,145.50x = 20,926,660,260.25
  5. Step 5: Solve for x
    x = 20,926,660,260.25/108,145.50
  6. Step 6: Final answer
    x = 193,504.68

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These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.