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Finding the Third Proportional to 83,075.25 and 177,963

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Solution

The third proportional to 83,075.25 and 177,963 is: 381,230.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,075.25 : 177,963 = 177,963 : x
  2. Step 2: Convert to fraction form
    83,075.25/177,963 = 177,963/x
  3. Step 3: Cross multiply
    83,075.25x = 177,963 × 177,963
  4. Step 4: Simplify right side
    83,075.25x = 31,670,829,369
  5. Step 5: Solve for x
    x = 31,670,829,369/83,075.25
  6. Step 6: Final answer
    x = 381,230.62

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.