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Finding the Third Proportional to 128,000.50 and 169,851

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Solution

The third proportional to 128,000.50 and 169,851 is: 225,384.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,000.50 : 169,851 = 169,851 : x
  2. Step 2: Convert to fraction form
    128,000.50/169,851 = 169,851/x
  3. Step 3: Cross multiply
    128,000.50x = 169,851 × 169,851
  4. Step 4: Simplify right side
    128,000.50x = 28,849,362,201
  5. Step 5: Solve for x
    x = 28,849,362,201/128,000.50
  6. Step 6: Final answer
    x = 225,384.76

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These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.