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Finding the Third Proportional to 69,932.50 and 105,479.25

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Solution

The third proportional to 69,932.50 and 105,479.25 is: 159,094.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,932.50 : 105,479.25 = 105,479.25 : x
  2. Step 2: Convert to fraction form
    69,932.50/105,479.25 = 105,479.25/x
  3. Step 3: Cross multiply
    69,932.50x = 105,479.25 × 105,479.25
  4. Step 4: Simplify right side
    69,932.50x = 11,125,872,180.56
  5. Step 5: Solve for x
    x = 11,125,872,180.56/69,932.50
  6. Step 6: Final answer
    x = 159,094.44

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