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Finding the Third Proportional to 80,559 and 118,372.50

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Solution

The third proportional to 80,559 and 118,372.50 is: 173,935.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,559 : 118,372.50 = 118,372.50 : x
  2. Step 2: Convert to fraction form
    80,559/118,372.50 = 118,372.50/x
  3. Step 3: Cross multiply
    80,559x = 118,372.50 × 118,372.50
  4. Step 4: Simplify right side
    80,559x = 14,012,048,756.25
  5. Step 5: Solve for x
    x = 14,012,048,756.25/80,559
  6. Step 6: Final answer
    x = 173,935.24

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.