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Finding the Third Proportional to 61,984.50 and 127,236

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Solution

The third proportional to 61,984.50 and 127,236 is: 261,178.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,984.50 : 127,236 = 127,236 : x
  2. Step 2: Convert to fraction form
    61,984.50/127,236 = 127,236/x
  3. Step 3: Cross multiply
    61,984.50x = 127,236 × 127,236
  4. Step 4: Simplify right side
    61,984.50x = 16,188,999,696
  5. Step 5: Solve for x
    x = 16,188,999,696/61,984.50
  6. Step 6: Final answer
    x = 261,178.19

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These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.