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Finding the Third Proportional to 79,724 and 125,078

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Solution

The third proportional to 79,724 and 125,078 is: 196,233.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,724 : 125,078 = 125,078 : x
  2. Step 2: Convert to fraction form
    79,724/125,078 = 125,078/x
  3. Step 3: Cross multiply
    79,724x = 125,078 × 125,078
  4. Step 4: Simplify right side
    79,724x = 15,644,506,084
  5. Step 5: Solve for x
    x = 15,644,506,084/79,724
  6. Step 6: Final answer
    x = 196,233.33

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