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Finding the Third Proportional to 108,970.31 and 169,912.69

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Solution

The third proportional to 108,970.31 and 169,912.69 is: 264,937.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,970.31 : 169,912.69 = 169,912.69 : x
  2. Step 2: Convert to fraction form
    108,970.31/169,912.69 = 169,912.69/x
  3. Step 3: Cross multiply
    108,970.31x = 169,912.69 × 169,912.69
  4. Step 4: Simplify right side
    108,970.31x = 28,870,321,373.47
  5. Step 5: Solve for x
    x = 28,870,321,373.47/108,970.31
  6. Step 6: Final answer
    x = 264,937.49

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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.