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Finding the Third Proportional to 67,069.69 and 142,135.69

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Solution

The third proportional to 67,069.69 and 142,135.69 is: 301,217.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,069.69 : 142,135.69 = 142,135.69 : x
  2. Step 2: Convert to fraction form
    67,069.69/142,135.69 = 142,135.69/x
  3. Step 3: Cross multiply
    67,069.69x = 142,135.69 × 142,135.69
  4. Step 4: Simplify right side
    67,069.69x = 20,202,553,661.10
  5. Step 5: Solve for x
    x = 20,202,553,661.10/67,069.69
  6. Step 6: Final answer
    x = 301,217.35

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.