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Finding the Third Proportional to 52,325.25 and 78,282.75

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Solution

The third proportional to 52,325.25 and 78,282.75 is: 117,117.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,325.25 : 78,282.75 = 78,282.75 : x
  2. Step 2: Convert to fraction form
    52,325.25/78,282.75 = 78,282.75/x
  3. Step 3: Cross multiply
    52,325.25x = 78,282.75 × 78,282.75
  4. Step 4: Simplify right side
    52,325.25x = 6,128,188,947.56
  5. Step 5: Solve for x
    x = 6,128,188,947.56/52,325.25
  6. Step 6: Final answer
    x = 117,117.24

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Why These Related Problems?

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