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Finding the Third Proportional to 45,454 and 69,768

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Solution

The third proportional to 45,454 and 69,768 is: 107,087.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,454 : 69,768 = 69,768 : x
  2. Step 2: Convert to fraction form
    45,454/69,768 = 69,768/x
  3. Step 3: Cross multiply
    45,454x = 69,768 × 69,768
  4. Step 4: Simplify right side
    45,454x = 4,867,573,824
  5. Step 5: Solve for x
    x = 4,867,573,824/45,454
  6. Step 6: Final answer
    x = 107,087.91

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.