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Finding the Third Proportional to 108,962.50 and 150,051.50

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Solution

The third proportional to 108,962.50 and 150,051.50 is: 206,634.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,962.50 : 150,051.50 = 150,051.50 : x
  2. Step 2: Convert to fraction form
    108,962.50/150,051.50 = 150,051.50/x
  3. Step 3: Cross multiply
    108,962.50x = 150,051.50 × 150,051.50
  4. Step 4: Simplify right side
    108,962.50x = 22,515,452,652.25
  5. Step 5: Solve for x
    x = 22,515,452,652.25/108,962.50
  6. Step 6: Final answer
    x = 206,634.88

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.