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Finding the Third Proportional to 52,446.50 and 78,651.50

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Solution

The third proportional to 52,446.50 and 78,651.50 is: 117,949.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,446.50 : 78,651.50 = 78,651.50 : x
  2. Step 2: Convert to fraction form
    52,446.50/78,651.50 = 78,651.50/x
  3. Step 3: Cross multiply
    52,446.50x = 78,651.50 × 78,651.50
  4. Step 4: Simplify right side
    52,446.50x = 6,186,058,452.25
  5. Step 5: Solve for x
    x = 6,186,058,452.25/52,446.50
  6. Step 6: Final answer
    x = 117,949.88

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.