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Finding the Third Proportional to 51,076.50 and 112,230

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Solution

The third proportional to 51,076.50 and 112,230 is: 246,602.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,076.50 : 112,230 = 112,230 : x
  2. Step 2: Convert to fraction form
    51,076.50/112,230 = 112,230/x
  3. Step 3: Cross multiply
    51,076.50x = 112,230 × 112,230
  4. Step 4: Simplify right side
    51,076.50x = 12,595,572,900
  5. Step 5: Solve for x
    x = 12,595,572,900/51,076.50
  6. Step 6: Final answer
    x = 246,602.11

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.