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Finding the Third Proportional to 108,536 and 235,114

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Solution

The third proportional to 108,536 and 235,114 is: 509,311.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,536 : 235,114 = 235,114 : x
  2. Step 2: Convert to fraction form
    108,536/235,114 = 235,114/x
  3. Step 3: Cross multiply
    108,536x = 235,114 × 235,114
  4. Step 4: Simplify right side
    108,536x = 55,278,592,996
  5. Step 5: Solve for x
    x = 55,278,592,996/108,536
  6. Step 6: Final answer
    x = 509,311.13

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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.