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Finding the Third Proportional to 108,530 and 235,102

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Solution

The third proportional to 108,530 and 235,102 is: 509,287.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,530 : 235,102 = 235,102 : x
  2. Step 2: Convert to fraction form
    108,530/235,102 = 235,102/x
  3. Step 3: Cross multiply
    108,530x = 235,102 × 235,102
  4. Step 4: Simplify right side
    108,530x = 55,272,950,404
  5. Step 5: Solve for x
    x = 55,272,950,404/108,530
  6. Step 6: Final answer
    x = 509,287.30

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.