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Finding the Third Proportional to 107,941 and 235,551

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Solution

The third proportional to 107,941 and 235,551 is: 514,024.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,941 : 235,551 = 235,551 : x
  2. Step 2: Convert to fraction form
    107,941/235,551 = 235,551/x
  3. Step 3: Cross multiply
    107,941x = 235,551 × 235,551
  4. Step 4: Simplify right side
    107,941x = 55,484,273,601
  5. Step 5: Solve for x
    x = 55,484,273,601/107,941
  6. Step 6: Final answer
    x = 514,024.08

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.