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Finding the Third Proportional to 108,075 and 161,680.50

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Solution

The third proportional to 108,075 and 161,680.50 is: 241,874.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,075 : 161,680.50 = 161,680.50 : x
  2. Step 2: Convert to fraction form
    108,075/161,680.50 = 161,680.50/x
  3. Step 3: Cross multiply
    108,075x = 161,680.50 × 161,680.50
  4. Step 4: Simplify right side
    108,075x = 26,140,584,080.25
  5. Step 5: Solve for x
    x = 26,140,584,080.25/108,075
  6. Step 6: Final answer
    x = 241,874.48

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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.