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Finding the Third Proportional to 75,925.50 and 120,669.75

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Solution

The third proportional to 75,925.50 and 120,669.75 is: 191,782.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,925.50 : 120,669.75 = 120,669.75 : x
  2. Step 2: Convert to fraction form
    75,925.50/120,669.75 = 120,669.75/x
  3. Step 3: Cross multiply
    75,925.50x = 120,669.75 × 120,669.75
  4. Step 4: Simplify right side
    75,925.50x = 14,561,188,565.06
  5. Step 5: Solve for x
    x = 14,561,188,565.06/75,925.50
  6. Step 6: Final answer
    x = 191,782.58

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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.