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Finding the Third Proportional to 31,056.50 and 67,057

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Solution

The third proportional to 31,056.50 and 67,057 is: 144,789.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,056.50 : 67,057 = 67,057 : x
  2. Step 2: Convert to fraction form
    31,056.50/67,057 = 67,057/x
  3. Step 3: Cross multiply
    31,056.50x = 67,057 × 67,057
  4. Step 4: Simplify right side
    31,056.50x = 4,496,641,249
  5. Step 5: Solve for x
    x = 4,496,641,249/31,056.50
  6. Step 6: Final answer
    x = 144,789.05

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.