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Finding the Third Proportional to 120,725.50 and 163,961.50

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Solution

The third proportional to 120,725.50 and 163,961.50 is: 222,681.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,725.50 : 163,961.50 = 163,961.50 : x
  2. Step 2: Convert to fraction form
    120,725.50/163,961.50 = 163,961.50/x
  3. Step 3: Cross multiply
    120,725.50x = 163,961.50 × 163,961.50
  4. Step 4: Simplify right side
    120,725.50x = 26,883,373,482.25
  5. Step 5: Solve for x
    x = 26,883,373,482.25/120,725.50
  6. Step 6: Final answer
    x = 222,681.82

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These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.