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Finding the Third Proportional to 67,221.75 and 146,295.75

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Solution

The third proportional to 67,221.75 and 146,295.75 is: 318,385.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,221.75 : 146,295.75 = 146,295.75 : x
  2. Step 2: Convert to fraction form
    67,221.75/146,295.75 = 146,295.75/x
  3. Step 3: Cross multiply
    67,221.75x = 146,295.75 × 146,295.75
  4. Step 4: Simplify right side
    67,221.75x = 21,402,446,468.06
  5. Step 5: Solve for x
    x = 21,402,446,468.06/67,221.75
  6. Step 6: Final answer
    x = 318,385.74

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.