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Finding the Third Proportional to 108,026 and 169,075

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Solution

The third proportional to 108,026 and 169,075 is: 264,624.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,026 : 169,075 = 169,075 : x
  2. Step 2: Convert to fraction form
    108,026/169,075 = 169,075/x
  3. Step 3: Cross multiply
    108,026x = 169,075 × 169,075
  4. Step 4: Simplify right side
    108,026x = 28,586,355,625
  5. Step 5: Solve for x
    x = 28,586,355,625/108,026
  6. Step 6: Final answer
    x = 264,624.77

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.