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Finding the Third Proportional to 45,880 and 72,996

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Solution

The third proportional to 45,880 and 72,996 is: 116,138.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,880 : 72,996 = 72,996 : x
  2. Step 2: Convert to fraction form
    45,880/72,996 = 72,996/x
  3. Step 3: Cross multiply
    45,880x = 72,996 × 72,996
  4. Step 4: Simplify right side
    45,880x = 5,328,416,016
  5. Step 5: Solve for x
    x = 5,328,416,016/45,880
  6. Step 6: Final answer
    x = 116,138.10

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.