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Finding the Third Proportional to 42,472 and 89,075

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Solution

The third proportional to 42,472 and 89,075 is: 186,813.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,472 : 89,075 = 89,075 : x
  2. Step 2: Convert to fraction form
    42,472/89,075 = 89,075/x
  3. Step 3: Cross multiply
    42,472x = 89,075 × 89,075
  4. Step 4: Simplify right side
    42,472x = 7,934,355,625
  5. Step 5: Solve for x
    x = 7,934,355,625/42,472
  6. Step 6: Final answer
    x = 186,813.80

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.