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Finding the Third Proportional to 61,736 and 95,168

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Solution

The third proportional to 61,736 and 95,168 is: 146,704.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,736 : 95,168 = 95,168 : x
  2. Step 2: Convert to fraction form
    61,736/95,168 = 95,168/x
  3. Step 3: Cross multiply
    61,736x = 95,168 × 95,168
  4. Step 4: Simplify right side
    61,736x = 9,056,948,224
  5. Step 5: Solve for x
    x = 9,056,948,224/61,736
  6. Step 6: Final answer
    x = 146,704.49

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.