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Finding the Third Proportional to 52,305.75 and 78,329.53

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Solution

The third proportional to 52,305.75 and 78,329.53 is: 117,300.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,305.75 : 78,329.53 = 78,329.53 : x
  2. Step 2: Convert to fraction form
    52,305.75/78,329.53 = 78,329.53/x
  3. Step 3: Cross multiply
    52,305.75x = 78,329.53 × 78,329.53
  4. Step 4: Simplify right side
    52,305.75x = 6,135,515,465.84
  5. Step 5: Solve for x
    x = 6,135,515,465.84/52,305.75
  6. Step 6: Final answer
    x = 117,300.97

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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.