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Finding the Third Proportional to 78,824 and 93,589

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Solution

The third proportional to 78,824 and 93,589 is: 111,119.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,824 : 93,589 = 93,589 : x
  2. Step 2: Convert to fraction form
    78,824/93,589 = 93,589/x
  3. Step 3: Cross multiply
    78,824x = 93,589 × 93,589
  4. Step 4: Simplify right side
    78,824x = 8,758,900,921
  5. Step 5: Solve for x
    x = 8,758,900,921/78,824
  6. Step 6: Final answer
    x = 111,119.72

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Why These Related Problems?

These problems maintain the same ratio (1.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.