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Finding the Third Proportional to 52,086 and 79,252.50

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Solution

The third proportional to 52,086 and 79,252.50 is: 120,588.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,086 : 79,252.50 = 79,252.50 : x
  2. Step 2: Convert to fraction form
    52,086/79,252.50 = 79,252.50/x
  3. Step 3: Cross multiply
    52,086x = 79,252.50 × 79,252.50
  4. Step 4: Simplify right side
    52,086x = 6,280,958,756.25
  5. Step 5: Solve for x
    x = 6,280,958,756.25/52,086
  6. Step 6: Final answer
    x = 120,588.23

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.