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Finding the Third Proportional to 53,679 and 80,572.50

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Solution

The third proportional to 53,679 and 80,572.50 is: 120,939.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,679 : 80,572.50 = 80,572.50 : x
  2. Step 2: Convert to fraction form
    53,679/80,572.50 = 80,572.50/x
  3. Step 3: Cross multiply
    53,679x = 80,572.50 × 80,572.50
  4. Step 4: Simplify right side
    53,679x = 6,491,927,756.25
  5. Step 5: Solve for x
    x = 6,491,927,756.25/53,679
  6. Step 6: Final answer
    x = 120,939.80

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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.