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Finding the Third Proportional to 32,931 and 71,181

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Solution

The third proportional to 32,931 and 71,181 is: 153,859.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,931 : 71,181 = 71,181 : x
  2. Step 2: Convert to fraction form
    32,931/71,181 = 71,181/x
  3. Step 3: Cross multiply
    32,931x = 71,181 × 71,181
  4. Step 4: Simplify right side
    32,931x = 5,066,734,761
  5. Step 5: Solve for x
    x = 5,066,734,761/32,931
  6. Step 6: Final answer
    x = 153,859.12

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.