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Finding the Third Proportional to 51,064.88 and 109,145.25

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Solution

The third proportional to 51,064.88 and 109,145.25 is: 233,285.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,064.88 : 109,145.25 = 109,145.25 : x
  2. Step 2: Convert to fraction form
    51,064.88/109,145.25 = 109,145.25/x
  3. Step 3: Cross multiply
    51,064.88x = 109,145.25 × 109,145.25
  4. Step 4: Simplify right side
    51,064.88x = 11,912,685,597.56
  5. Step 5: Solve for x
    x = 11,912,685,597.56/51,064.88
  6. Step 6: Final answer
    x = 233,285.32

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.