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Finding the Third Proportional to 131,623.50 and 192,498

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Solution

The third proportional to 131,623.50 and 192,498 is: 281,526.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,623.50 : 192,498 = 192,498 : x
  2. Step 2: Convert to fraction form
    131,623.50/192,498 = 192,498/x
  3. Step 3: Cross multiply
    131,623.50x = 192,498 × 192,498
  4. Step 4: Simplify right side
    131,623.50x = 37,055,480,004
  5. Step 5: Solve for x
    x = 37,055,480,004/131,623.50
  6. Step 6: Final answer
    x = 281,526.32

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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.