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Finding the Third Proportional to 90,116 and 129,806

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Solution

The third proportional to 90,116 and 129,806 is: 186,976.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,116 : 129,806 = 129,806 : x
  2. Step 2: Convert to fraction form
    90,116/129,806 = 129,806/x
  3. Step 3: Cross multiply
    90,116x = 129,806 × 129,806
  4. Step 4: Simplify right side
    90,116x = 16,849,597,636
  5. Step 5: Solve for x
    x = 16,849,597,636/90,116
  6. Step 6: Final answer
    x = 186,976.76

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These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.