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Finding the Third Proportional to 69,935.25 and 105,486.75

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Solution

The third proportional to 69,935.25 and 105,486.75 is: 159,110.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,935.25 : 105,486.75 = 105,486.75 : x
  2. Step 2: Convert to fraction form
    69,935.25/105,486.75 = 105,486.75/x
  3. Step 3: Cross multiply
    69,935.25x = 105,486.75 × 105,486.75
  4. Step 4: Simplify right side
    69,935.25x = 11,127,454,425.56
  5. Step 5: Solve for x
    x = 11,127,454,425.56/69,935.25
  6. Step 6: Final answer
    x = 159,110.81

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.