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Finding the Third Proportional to 78,838 and 93,418

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Solution

The third proportional to 78,838 and 93,418 is: 110,694.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,838 : 93,418 = 93,418 : x
  2. Step 2: Convert to fraction form
    78,838/93,418 = 93,418/x
  3. Step 3: Cross multiply
    78,838x = 93,418 × 93,418
  4. Step 4: Simplify right side
    78,838x = 8,726,922,724
  5. Step 5: Solve for x
    x = 8,726,922,724/78,838
  6. Step 6: Final answer
    x = 110,694.37

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Why These Related Problems?

These problems maintain the same ratio (1.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.