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Finding the Third Proportional to 52,615 and 78,982.50

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Solution

The third proportional to 52,615 and 78,982.50 is: 118,563.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,615 : 78,982.50 = 78,982.50 : x
  2. Step 2: Convert to fraction form
    52,615/78,982.50 = 78,982.50/x
  3. Step 3: Cross multiply
    52,615x = 78,982.50 × 78,982.50
  4. Step 4: Simplify right side
    52,615x = 6,238,235,306.25
  5. Step 5: Solve for x
    x = 6,238,235,306.25/52,615
  6. Step 6: Final answer
    x = 118,563.82

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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.