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Finding the Third Proportional to 99,826 and 145,835

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Solution

The third proportional to 99,826 and 145,835 is: 213,049.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,826 : 145,835 = 145,835 : x
  2. Step 2: Convert to fraction form
    99,826/145,835 = 145,835/x
  3. Step 3: Cross multiply
    99,826x = 145,835 × 145,835
  4. Step 4: Simplify right side
    99,826x = 21,267,847,225
  5. Step 5: Solve for x
    x = 21,267,847,225/99,826
  6. Step 6: Final answer
    x = 213,049.18

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.