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Finding the Third Proportional to 52,694.25 and 77,069.25

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Solution

The third proportional to 52,694.25 and 77,069.25 is: 112,719.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,694.25 : 77,069.25 = 77,069.25 : x
  2. Step 2: Convert to fraction form
    52,694.25/77,069.25 = 77,069.25/x
  3. Step 3: Cross multiply
    52,694.25x = 77,069.25 × 77,069.25
  4. Step 4: Simplify right side
    52,694.25x = 5,939,669,295.56
  5. Step 5: Solve for x
    x = 5,939,669,295.56/52,694.25
  6. Step 6: Final answer
    x = 112,719.50

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.