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Finding the Third Proportional to 108,540 and 235,122

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Solution

The third proportional to 108,540 and 235,122 is: 509,327.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,540 : 235,122 = 235,122 : x
  2. Step 2: Convert to fraction form
    108,540/235,122 = 235,122/x
  3. Step 3: Cross multiply
    108,540x = 235,122 × 235,122
  4. Step 4: Simplify right side
    108,540x = 55,282,354,884
  5. Step 5: Solve for x
    x = 55,282,354,884/108,540
  6. Step 6: Final answer
    x = 509,327.02

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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.