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Finding the Third Proportional to 75,326 and 110,685

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Solution

The third proportional to 75,326 and 110,685 is: 162,641.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,326 : 110,685 = 110,685 : x
  2. Step 2: Convert to fraction form
    75,326/110,685 = 110,685/x
  3. Step 3: Cross multiply
    75,326x = 110,685 × 110,685
  4. Step 4: Simplify right side
    75,326x = 12,251,169,225
  5. Step 5: Solve for x
    x = 12,251,169,225/75,326
  6. Step 6: Final answer
    x = 162,641.97

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.