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Finding the Third Proportional to 76,536 and 167,841

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Solution

The third proportional to 76,536 and 167,841 is: 368,069.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,536 : 167,841 = 167,841 : x
  2. Step 2: Convert to fraction form
    76,536/167,841 = 167,841/x
  3. Step 3: Cross multiply
    76,536x = 167,841 × 167,841
  4. Step 4: Simplify right side
    76,536x = 28,170,601,281
  5. Step 5: Solve for x
    x = 28,170,601,281/76,536
  6. Step 6: Final answer
    x = 368,069.94

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.