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Finding the Third Proportional to 67,504.50 and 139,329

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Solution

The third proportional to 67,504.50 and 139,329 is: 287,574.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,504.50 : 139,329 = 139,329 : x
  2. Step 2: Convert to fraction form
    67,504.50/139,329 = 139,329/x
  3. Step 3: Cross multiply
    67,504.50x = 139,329 × 139,329
  4. Step 4: Simplify right side
    67,504.50x = 19,412,570,241
  5. Step 5: Solve for x
    x = 19,412,570,241/67,504.50
  6. Step 6: Final answer
    x = 287,574.46

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.