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Finding the Third Proportional to 75,338.50 and 103,304

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Solution

The third proportional to 75,338.50 and 103,304 is: 141,650.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,338.50 : 103,304 = 103,304 : x
  2. Step 2: Convert to fraction form
    75,338.50/103,304 = 103,304/x
  3. Step 3: Cross multiply
    75,338.50x = 103,304 × 103,304
  4. Step 4: Simplify right side
    75,338.50x = 10,671,716,416
  5. Step 5: Solve for x
    x = 10,671,716,416/75,338.50
  6. Step 6: Final answer
    x = 141,650.24

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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.