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Finding the Third Proportional to 107,760 and 235,583

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Solution

The third proportional to 107,760 and 235,583 is: 515,027.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,760 : 235,583 = 235,583 : x
  2. Step 2: Convert to fraction form
    107,760/235,583 = 235,583/x
  3. Step 3: Cross multiply
    107,760x = 235,583 × 235,583
  4. Step 4: Simplify right side
    107,760x = 55,499,349,889
  5. Step 5: Solve for x
    x = 55,499,349,889/107,760
  6. Step 6: Final answer
    x = 515,027.37

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.