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Finding the Third Proportional to 52,157.25 and 78,478.88

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Solution

The third proportional to 52,157.25 and 78,478.88 is: 118,083.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,157.25 : 78,478.88 = 78,478.88 : x
  2. Step 2: Convert to fraction form
    52,157.25/78,478.88 = 78,478.88/x
  3. Step 3: Cross multiply
    52,157.25x = 78,478.88 × 78,478.88
  4. Step 4: Simplify right side
    52,157.25x = 6,158,933,821.27
  5. Step 5: Solve for x
    x = 6,158,933,821.27/52,157.25
  6. Step 6: Final answer
    x = 118,083.94

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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.