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Finding the Third Proportional to 31,179.94 and 66,506.06

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Solution

The third proportional to 31,179.94 and 66,506.06 is: 141,855.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,179.94 : 66,506.06 = 66,506.06 : x
  2. Step 2: Convert to fraction form
    31,179.94/66,506.06 = 66,506.06/x
  3. Step 3: Cross multiply
    31,179.94x = 66,506.06 × 66,506.06
  4. Step 4: Simplify right side
    31,179.94x = 4,423,056,349.25
  5. Step 5: Solve for x
    x = 4,423,056,349.25/31,179.94
  6. Step 6: Final answer
    x = 141,855.84

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.