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Finding the Third Proportional to 77,397.50 and 158,075

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Solution

The third proportional to 77,397.50 and 158,075 is: 322,849.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,397.50 : 158,075 = 158,075 : x
  2. Step 2: Convert to fraction form
    77,397.50/158,075 = 158,075/x
  3. Step 3: Cross multiply
    77,397.50x = 158,075 × 158,075
  4. Step 4: Simplify right side
    77,397.50x = 24,987,705,625
  5. Step 5: Solve for x
    x = 24,987,705,625/77,397.50
  6. Step 6: Final answer
    x = 322,849.00

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These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.