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Finding the Third Proportional to 45,937.69 and 68,906.81

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Solution

The third proportional to 45,937.69 and 68,906.81 is: 103,360.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,937.69 : 68,906.81 = 68,906.81 : x
  2. Step 2: Convert to fraction form
    45,937.69/68,906.81 = 68,906.81/x
  3. Step 3: Cross multiply
    45,937.69x = 68,906.81 × 68,906.81
  4. Step 4: Simplify right side
    45,937.69x = 4,748,148,808.91
  5. Step 5: Solve for x
    x = 4,748,148,808.91/45,937.69
  6. Step 6: Final answer
    x = 103,360.64

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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.