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Finding the Third Proportional to 125,184 and 196,728

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Solution

The third proportional to 125,184 and 196,728 is: 309,160.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,184 : 196,728 = 196,728 : x
  2. Step 2: Convert to fraction form
    125,184/196,728 = 196,728/x
  3. Step 3: Cross multiply
    125,184x = 196,728 × 196,728
  4. Step 4: Simplify right side
    125,184x = 38,701,905,984
  5. Step 5: Solve for x
    x = 38,701,905,984/125,184
  6. Step 6: Final answer
    x = 309,160.16

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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.