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Finding the Third Proportional to 72,650.25 and 109,049.63

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Solution

The third proportional to 72,650.25 and 109,049.63 is: 163,685.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,650.25 : 109,049.63 = 109,049.63 : x
  2. Step 2: Convert to fraction form
    72,650.25/109,049.63 = 109,049.63/x
  3. Step 3: Cross multiply
    72,650.25x = 109,049.63 × 109,049.63
  4. Step 4: Simplify right side
    72,650.25x = 11,891,820,712.64
  5. Step 5: Solve for x
    x = 11,891,820,712.64/72,650.25
  6. Step 6: Final answer
    x = 163,685.89

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.