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Finding the Third Proportional to 75,546 and 160,065

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Solution

The third proportional to 75,546 and 160,065 is: 339,141.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,546 : 160,065 = 160,065 : x
  2. Step 2: Convert to fraction form
    75,546/160,065 = 160,065/x
  3. Step 3: Cross multiply
    75,546x = 160,065 × 160,065
  4. Step 4: Simplify right side
    75,546x = 25,620,804,225
  5. Step 5: Solve for x
    x = 25,620,804,225/75,546
  6. Step 6: Final answer
    x = 339,141.77

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.