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Finding the Third Proportional to 67,845 and 99,735

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Solution

The third proportional to 67,845 and 99,735 is: 146,614.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,845 : 99,735 = 99,735 : x
  2. Step 2: Convert to fraction form
    67,845/99,735 = 99,735/x
  3. Step 3: Cross multiply
    67,845x = 99,735 × 99,735
  4. Step 4: Simplify right side
    67,845x = 9,947,070,225
  5. Step 5: Solve for x
    x = 9,947,070,225/67,845
  6. Step 6: Final answer
    x = 146,614.64

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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.