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Finding the Third Proportional to 31,754 and 69,152

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Solution

The third proportional to 31,754 and 69,152 is: 150,595.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,754 : 69,152 = 69,152 : x
  2. Step 2: Convert to fraction form
    31,754/69,152 = 69,152/x
  3. Step 3: Cross multiply
    31,754x = 69,152 × 69,152
  4. Step 4: Simplify right side
    31,754x = 4,781,999,104
  5. Step 5: Solve for x
    x = 4,781,999,104/31,754
  6. Step 6: Final answer
    x = 150,595.17

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.