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Finding the Third Proportional to 75,497.06 and 105,811.31

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Solution

The third proportional to 75,497.06 and 105,811.31 is: 148,297.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,497.06 : 105,811.31 = 105,811.31 : x
  2. Step 2: Convert to fraction form
    75,497.06/105,811.31 = 105,811.31/x
  3. Step 3: Cross multiply
    75,497.06x = 105,811.31 × 105,811.31
  4. Step 4: Simplify right side
    75,497.06x = 11,196,033,852.97
  5. Step 5: Solve for x
    x = 11,196,033,852.97/75,497.06
  6. Step 6: Final answer
    x = 148,297.61

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.