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Finding the Third Proportional to 131,610 and 192,502

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Solution

The third proportional to 131,610 and 192,502 is: 281,566.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,610 : 192,502 = 192,502 : x
  2. Step 2: Convert to fraction form
    131,610/192,502 = 192,502/x
  3. Step 3: Cross multiply
    131,610x = 192,502 × 192,502
  4. Step 4: Simplify right side
    131,610x = 37,057,020,004
  5. Step 5: Solve for x
    x = 37,057,020,004/131,610
  6. Step 6: Final answer
    x = 281,566.90

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.