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Finding the Third Proportional to 104,742 and 148,092

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Solution

The third proportional to 104,742 and 148,092 is: 209,383.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,742 : 148,092 = 148,092 : x
  2. Step 2: Convert to fraction form
    104,742/148,092 = 148,092/x
  3. Step 3: Cross multiply
    104,742x = 148,092 × 148,092
  4. Step 4: Simplify right side
    104,742x = 21,931,240,464
  5. Step 5: Solve for x
    x = 21,931,240,464/104,742
  6. Step 6: Final answer
    x = 209,383.44

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.