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Finding the Third Proportional to 109,062 and 146,556

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Solution

The third proportional to 109,062 and 146,556 is: 196,939.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,062 : 146,556 = 146,556 : x
  2. Step 2: Convert to fraction form
    109,062/146,556 = 146,556/x
  3. Step 3: Cross multiply
    109,062x = 146,556 × 146,556
  4. Step 4: Simplify right side
    109,062x = 21,478,661,136
  5. Step 5: Solve for x
    x = 21,478,661,136/109,062
  6. Step 6: Final answer
    x = 196,939.92

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.