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Finding the Third Proportional to 31,328 and 70,928

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Solution

The third proportional to 31,328 and 70,928 is: 160,584.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,328 : 70,928 = 70,928 : x
  2. Step 2: Convert to fraction form
    31,328/70,928 = 70,928/x
  3. Step 3: Cross multiply
    31,328x = 70,928 × 70,928
  4. Step 4: Simplify right side
    31,328x = 5,030,781,184
  5. Step 5: Solve for x
    x = 5,030,781,184/31,328
  6. Step 6: Final answer
    x = 160,584.18

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These problems maintain the same ratio (2.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.