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Finding the Third Proportional to 78,643 and 125,089

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Solution

The third proportional to 78,643 and 125,089 is: 198,965.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,643 : 125,089 = 125,089 : x
  2. Step 2: Convert to fraction form
    78,643/125,089 = 125,089/x
  3. Step 3: Cross multiply
    78,643x = 125,089 × 125,089
  4. Step 4: Simplify right side
    78,643x = 15,647,257,921
  5. Step 5: Solve for x
    x = 15,647,257,921/78,643
  6. Step 6: Final answer
    x = 198,965.68

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.