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Finding the Third Proportional to 64,736 and 87,448

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Solution

The third proportional to 64,736 and 87,448 is: 118,128.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,736 : 87,448 = 87,448 : x
  2. Step 2: Convert to fraction form
    64,736/87,448 = 87,448/x
  3. Step 3: Cross multiply
    64,736x = 87,448 × 87,448
  4. Step 4: Simplify right side
    64,736x = 7,647,152,704
  5. Step 5: Solve for x
    x = 7,647,152,704/64,736
  6. Step 6: Final answer
    x = 118,128.29

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.