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Finding the Third Proportional to 52,290.75 and 78,555.25

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Solution

The third proportional to 52,290.75 and 78,555.25 is: 118,011.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,290.75 : 78,555.25 = 78,555.25 : x
  2. Step 2: Convert to fraction form
    52,290.75/78,555.25 = 78,555.25/x
  3. Step 3: Cross multiply
    52,290.75x = 78,555.25 × 78,555.25
  4. Step 4: Simplify right side
    52,290.75x = 6,170,927,302.56
  5. Step 5: Solve for x
    x = 6,170,927,302.56/52,290.75
  6. Step 6: Final answer
    x = 118,011.83

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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.