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Finding the Third Proportional to 52,491 and 79,132.50

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Solution

The third proportional to 52,491 and 79,132.50 is: 119,295.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,491 : 79,132.50 = 79,132.50 : x
  2. Step 2: Convert to fraction form
    52,491/79,132.50 = 79,132.50/x
  3. Step 3: Cross multiply
    52,491x = 79,132.50 × 79,132.50
  4. Step 4: Simplify right side
    52,491x = 6,261,952,556.25
  5. Step 5: Solve for x
    x = 6,261,952,556.25/52,491
  6. Step 6: Final answer
    x = 119,295.74

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.