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Finding the Third Proportional to 148,511 and 196,927

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Solution

The third proportional to 148,511 and 196,927 is: 261,127.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,511 : 196,927 = 196,927 : x
  2. Step 2: Convert to fraction form
    148,511/196,927 = 196,927/x
  3. Step 3: Cross multiply
    148,511x = 196,927 × 196,927
  4. Step 4: Simplify right side
    148,511x = 38,780,243,329
  5. Step 5: Solve for x
    x = 38,780,243,329/148,511
  6. Step 6: Final answer
    x = 261,127.08

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.