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Finding the Third Proportional to 83,938 and 117,347

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Solution

The third proportional to 83,938 and 117,347 is: 164,053.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,938 : 117,347 = 117,347 : x
  2. Step 2: Convert to fraction form
    83,938/117,347 = 117,347/x
  3. Step 3: Cross multiply
    83,938x = 117,347 × 117,347
  4. Step 4: Simplify right side
    83,938x = 13,770,318,409
  5. Step 5: Solve for x
    x = 13,770,318,409/83,938
  6. Step 6: Final answer
    x = 164,053.45

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.