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Finding the Third Proportional to 69,932.25 and 105,478.88

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Solution

The third proportional to 69,932.25 and 105,478.88 is: 159,093.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,932.25 : 105,478.88 = 105,478.88 : x
  2. Step 2: Convert to fraction form
    69,932.25/105,478.88 = 105,478.88/x
  3. Step 3: Cross multiply
    69,932.25x = 105,478.88 × 105,478.88
  4. Step 4: Simplify right side
    69,932.25x = 11,125,793,071.27
  5. Step 5: Solve for x
    x = 11,125,793,071.27/69,932.25
  6. Step 6: Final answer
    x = 159,093.88

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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.