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Finding the Third Proportional to 107,745 and 169,936.50

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Solution

The third proportional to 107,745 and 169,936.50 is: 268,025.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,745 : 169,936.50 = 169,936.50 : x
  2. Step 2: Convert to fraction form
    107,745/169,936.50 = 169,936.50/x
  3. Step 3: Cross multiply
    107,745x = 169,936.50 × 169,936.50
  4. Step 4: Simplify right side
    107,745x = 28,878,414,032.25
  5. Step 5: Solve for x
    x = 28,878,414,032.25/107,745
  6. Step 6: Final answer
    x = 268,025.56

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These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.