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Finding the Third Proportional to 108,013.50 and 162,019.50

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Solution

The third proportional to 108,013.50 and 162,019.50 is: 243,028.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,013.50 : 162,019.50 = 162,019.50 : x
  2. Step 2: Convert to fraction form
    108,013.50/162,019.50 = 162,019.50/x
  3. Step 3: Cross multiply
    108,013.50x = 162,019.50 × 162,019.50
  4. Step 4: Simplify right side
    108,013.50x = 26,250,318,380.25
  5. Step 5: Solve for x
    x = 26,250,318,380.25/108,013.50
  6. Step 6: Final answer
    x = 243,028.13

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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.