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Finding the Third Proportional to 52,145.50 and 78,219.75

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Solution

The third proportional to 52,145.50 and 78,219.75 is: 117,331.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,145.50 : 78,219.75 = 78,219.75 : x
  2. Step 2: Convert to fraction form
    52,145.50/78,219.75 = 78,219.75/x
  3. Step 3: Cross multiply
    52,145.50x = 78,219.75 × 78,219.75
  4. Step 4: Simplify right side
    52,145.50x = 6,118,329,290.06
  5. Step 5: Solve for x
    x = 6,118,329,290.06/52,145.50
  6. Step 6: Final answer
    x = 117,331.88

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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.