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Finding the Third Proportional to 88,772 and 191,075

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Solution

The third proportional to 88,772 and 191,075 is: 411,274.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    88,772 : 191,075 = 191,075 : x
  2. Step 2: Convert to fraction form
    88,772/191,075 = 191,075/x
  3. Step 3: Cross multiply
    88,772x = 191,075 × 191,075
  4. Step 4: Simplify right side
    88,772x = 36,509,655,625
  5. Step 5: Solve for x
    x = 36,509,655,625/88,772
  6. Step 6: Final answer
    x = 411,274.45

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.