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Finding the Third Proportional to 75,250.13 and 103,186.69

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Solution

The third proportional to 75,250.13 and 103,186.69 is: 141,494.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,250.13 : 103,186.69 = 103,186.69 : x
  2. Step 2: Convert to fraction form
    75,250.13/103,186.69 = 103,186.69/x
  3. Step 3: Cross multiply
    75,250.13x = 103,186.69 × 103,186.69
  4. Step 4: Simplify right side
    75,250.13x = 10,647,492,477.22
  5. Step 5: Solve for x
    x = 10,647,492,477.22/75,250.13
  6. Step 6: Final answer
    x = 141,494.68

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.