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Finding the Third Proportional to 108,938 and 235,971

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Solution

The third proportional to 108,938 and 235,971 is: 511,137.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,938 : 235,971 = 235,971 : x
  2. Step 2: Convert to fraction form
    108,938/235,971 = 235,971/x
  3. Step 3: Cross multiply
    108,938x = 235,971 × 235,971
  4. Step 4: Simplify right side
    108,938x = 55,682,312,841
  5. Step 5: Solve for x
    x = 55,682,312,841/108,938
  6. Step 6: Final answer
    x = 511,137.65

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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.