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Finding the Third Proportional to 51,643.50 and 109,488

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Solution

The third proportional to 51,643.50 and 109,488 is: 232,122.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,643.50 : 109,488 = 109,488 : x
  2. Step 2: Convert to fraction form
    51,643.50/109,488 = 109,488/x
  3. Step 3: Cross multiply
    51,643.50x = 109,488 × 109,488
  4. Step 4: Simplify right side
    51,643.50x = 11,987,622,144
  5. Step 5: Solve for x
    x = 11,987,622,144/51,643.50
  6. Step 6: Final answer
    x = 232,122.57

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.