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Finding the Third Proportional to 175,510.50 and 192,732

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Solution

The third proportional to 175,510.50 and 192,732 is: 211,643.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,510.50 : 192,732 = 192,732 : x
  2. Step 2: Convert to fraction form
    175,510.50/192,732 = 192,732/x
  3. Step 3: Cross multiply
    175,510.50x = 192,732 × 192,732
  4. Step 4: Simplify right side
    175,510.50x = 37,145,623,824
  5. Step 5: Solve for x
    x = 37,145,623,824/175,510.50
  6. Step 6: Final answer
    x = 211,643.31

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These problems maintain the same ratio (1.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.