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Finding the Third Proportional to 61,197 and 129,747

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Solution

The third proportional to 61,197 and 129,747 is: 275,083.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,197 : 129,747 = 129,747 : x
  2. Step 2: Convert to fraction form
    61,197/129,747 = 129,747/x
  3. Step 3: Cross multiply
    61,197x = 129,747 × 129,747
  4. Step 4: Simplify right side
    61,197x = 16,834,284,009
  5. Step 5: Solve for x
    x = 16,834,284,009/61,197
  6. Step 6: Final answer
    x = 275,083.48

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.