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Finding the Third Proportional to 31,703 and 69,706

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Solution

The third proportional to 31,703 and 69,706 is: 153,263.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,703 : 69,706 = 69,706 : x
  2. Step 2: Convert to fraction form
    31,703/69,706 = 69,706/x
  3. Step 3: Cross multiply
    31,703x = 69,706 × 69,706
  4. Step 4: Simplify right side
    31,703x = 4,858,926,436
  5. Step 5: Solve for x
    x = 4,858,926,436/31,703
  6. Step 6: Final answer
    x = 153,263.93

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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.