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Finding the Third Proportional to 75,205.50 and 112,824.50

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Solution

The third proportional to 75,205.50 and 112,824.50 is: 169,261.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,205.50 : 112,824.50 = 112,824.50 : x
  2. Step 2: Convert to fraction form
    75,205.50/112,824.50 = 112,824.50/x
  3. Step 3: Cross multiply
    75,205.50x = 112,824.50 × 112,824.50
  4. Step 4: Simplify right side
    75,205.50x = 12,729,367,800.25
  5. Step 5: Solve for x
    x = 12,729,367,800.25/75,205.50
  6. Step 6: Final answer
    x = 169,261.13

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.