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Finding the Third Proportional to 45,110.25 and 68,465.25

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Solution

The third proportional to 45,110.25 and 68,465.25 is: 103,911.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,110.25 : 68,465.25 = 68,465.25 : x
  2. Step 2: Convert to fraction form
    45,110.25/68,465.25 = 68,465.25/x
  3. Step 3: Cross multiply
    45,110.25x = 68,465.25 × 68,465.25
  4. Step 4: Simplify right side
    45,110.25x = 4,687,490,457.56
  5. Step 5: Solve for x
    x = 4,687,490,457.56/45,110.25
  6. Step 6: Final answer
    x = 103,911.87

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.