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Finding the Third Proportional to 115,938 and 165,348

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Solution

The third proportional to 115,938 and 165,348 is: 235,815.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,938 : 165,348 = 165,348 : x
  2. Step 2: Convert to fraction form
    115,938/165,348 = 165,348/x
  3. Step 3: Cross multiply
    115,938x = 165,348 × 165,348
  4. Step 4: Simplify right side
    115,938x = 27,339,961,104
  5. Step 5: Solve for x
    x = 27,339,961,104/115,938
  6. Step 6: Final answer
    x = 235,815.36

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.