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Finding the Third Proportional to 68,743.69 and 146,847.94

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Solution

The third proportional to 68,743.69 and 146,847.94 is: 313,691.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,743.69 : 146,847.94 = 146,847.94 : x
  2. Step 2: Convert to fraction form
    68,743.69/146,847.94 = 146,847.94/x
  3. Step 3: Cross multiply
    68,743.69x = 146,847.94 × 146,847.94
  4. Step 4: Simplify right side
    68,743.69x = 21,564,316,748.00
  5. Step 5: Solve for x
    x = 21,564,316,748.00/68,743.69
  6. Step 6: Final answer
    x = 313,691.59

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.