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Finding the Third Proportional to 106,027.50 and 163,959.75

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Solution

The third proportional to 106,027.50 and 163,959.75 is: 253,545.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,027.50 : 163,959.75 = 163,959.75 : x
  2. Step 2: Convert to fraction form
    106,027.50/163,959.75 = 163,959.75/x
  3. Step 3: Cross multiply
    106,027.50x = 163,959.75 × 163,959.75
  4. Step 4: Simplify right side
    106,027.50x = 26,882,799,620.06
  5. Step 5: Solve for x
    x = 26,882,799,620.06/106,027.50
  6. Step 6: Final answer
    x = 253,545.54

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.