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Finding the Third Proportional to 84,584 and 118,256

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Solution

The third proportional to 84,584 and 118,256 is: 165,332.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,584 : 118,256 = 118,256 : x
  2. Step 2: Convert to fraction form
    84,584/118,256 = 118,256/x
  3. Step 3: Cross multiply
    84,584x = 118,256 × 118,256
  4. Step 4: Simplify right side
    84,584x = 13,984,481,536
  5. Step 5: Solve for x
    x = 13,984,481,536/84,584
  6. Step 6: Final answer
    x = 165,332.47

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.