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Finding the Third Proportional to 107,935.50 and 168,943.50

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Solution

The third proportional to 107,935.50 and 168,943.50 is: 264,434.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,935.50 : 168,943.50 = 168,943.50 : x
  2. Step 2: Convert to fraction form
    107,935.50/168,943.50 = 168,943.50/x
  3. Step 3: Cross multiply
    107,935.50x = 168,943.50 × 168,943.50
  4. Step 4: Simplify right side
    107,935.50x = 28,541,906,192.25
  5. Step 5: Solve for x
    x = 28,541,906,192.25/107,935.50
  6. Step 6: Final answer
    x = 264,434.84

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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.