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Finding the Third Proportional to 75,430.50 and 103,906

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Solution

The third proportional to 75,430.50 and 103,906 is: 143,131.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,430.50 : 103,906 = 103,906 : x
  2. Step 2: Convert to fraction form
    75,430.50/103,906 = 103,906/x
  3. Step 3: Cross multiply
    75,430.50x = 103,906 × 103,906
  4. Step 4: Simplify right side
    75,430.50x = 10,796,456,836
  5. Step 5: Solve for x
    x = 10,796,456,836/75,430.50
  6. Step 6: Final answer
    x = 143,131.18

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.