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Finding the Third Proportional to 72,000 and 112,072.50

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Solution

The third proportional to 72,000 and 112,072.50 is: 174,447.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,000 : 112,072.50 = 112,072.50 : x
  2. Step 2: Convert to fraction form
    72,000/112,072.50 = 112,072.50/x
  3. Step 3: Cross multiply
    72,000x = 112,072.50 × 112,072.50
  4. Step 4: Simplify right side
    72,000x = 12,560,245,256.25
  5. Step 5: Solve for x
    x = 12,560,245,256.25/72,000
  6. Step 6: Final answer
    x = 174,447.85

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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.