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Finding the Third Proportional to 61,072.50 and 128,706

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Solution

The third proportional to 61,072.50 and 128,706 is: 271,238.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,072.50 : 128,706 = 128,706 : x
  2. Step 2: Convert to fraction form
    61,072.50/128,706 = 128,706/x
  3. Step 3: Cross multiply
    61,072.50x = 128,706 × 128,706
  4. Step 4: Simplify right side
    61,072.50x = 16,565,234,436
  5. Step 5: Solve for x
    x = 16,565,234,436/61,072.50
  6. Step 6: Final answer
    x = 271,238.85

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These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.