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Finding the Third Proportional to 67,824 and 98,652

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Solution

The third proportional to 67,824 and 98,652 is: 143,492.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,824 : 98,652 = 98,652 : x
  2. Step 2: Convert to fraction form
    67,824/98,652 = 98,652/x
  3. Step 3: Cross multiply
    67,824x = 98,652 × 98,652
  4. Step 4: Simplify right side
    67,824x = 9,732,217,104
  5. Step 5: Solve for x
    x = 9,732,217,104/67,824
  6. Step 6: Final answer
    x = 143,492.23

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.