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Finding the Third Proportional to 75,069.75 and 116,910

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Solution

The third proportional to 75,069.75 and 116,910 is: 182,069.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,069.75 : 116,910 = 116,910 : x
  2. Step 2: Convert to fraction form
    75,069.75/116,910 = 116,910/x
  3. Step 3: Cross multiply
    75,069.75x = 116,910 × 116,910
  4. Step 4: Simplify right side
    75,069.75x = 13,667,948,100
  5. Step 5: Solve for x
    x = 13,667,948,100/75,069.75
  6. Step 6: Final answer
    x = 182,069.98

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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.