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Finding the Third Proportional to 80,113 and 125,669

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Solution

The third proportional to 80,113 and 125,669 is: 197,130.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,113 : 125,669 = 125,669 : x
  2. Step 2: Convert to fraction form
    80,113/125,669 = 125,669/x
  3. Step 3: Cross multiply
    80,113x = 125,669 × 125,669
  4. Step 4: Simplify right side
    80,113x = 15,792,697,561
  5. Step 5: Solve for x
    x = 15,792,697,561/80,113
  6. Step 6: Final answer
    x = 197,130.27

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.