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Finding the Third Proportional to 31,324 and 70,918

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Solution

The third proportional to 31,324 and 70,918 is: 160,559.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,324 : 70,918 = 70,918 : x
  2. Step 2: Convert to fraction form
    31,324/70,918 = 70,918/x
  3. Step 3: Cross multiply
    31,324x = 70,918 × 70,918
  4. Step 4: Simplify right side
    31,324x = 5,029,362,724
  5. Step 5: Solve for x
    x = 5,029,362,724/31,324
  6. Step 6: Final answer
    x = 160,559.40

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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.