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Finding the Third Proportional to 75,933.75 and 120,682.50

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Solution

The third proportional to 75,933.75 and 120,682.50 is: 191,802.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,933.75 : 120,682.50 = 120,682.50 : x
  2. Step 2: Convert to fraction form
    75,933.75/120,682.50 = 120,682.50/x
  3. Step 3: Cross multiply
    75,933.75x = 120,682.50 × 120,682.50
  4. Step 4: Simplify right side
    75,933.75x = 14,564,265,806.25
  5. Step 5: Solve for x
    x = 14,564,265,806.25/75,933.75
  6. Step 6: Final answer
    x = 191,802.27

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.