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Finding the Third Proportional to 51,075.75 and 78,767.63

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Solution

The third proportional to 51,075.75 and 78,767.63 is: 121,473.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,075.75 : 78,767.63 = 78,767.63 : x
  2. Step 2: Convert to fraction form
    51,075.75/78,767.63 = 78,767.63/x
  3. Step 3: Cross multiply
    51,075.75x = 78,767.63 × 78,767.63
  4. Step 4: Simplify right side
    51,075.75x = 6,204,338,748.14
  5. Step 5: Solve for x
    x = 6,204,338,748.14/51,075.75
  6. Step 6: Final answer
    x = 121,473.28

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.