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Finding the Third Proportional to 69,132 and 161,886

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Solution

The third proportional to 69,132 and 161,886 is: 379,087.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,132 : 161,886 = 161,886 : x
  2. Step 2: Convert to fraction form
    69,132/161,886 = 161,886/x
  3. Step 3: Cross multiply
    69,132x = 161,886 × 161,886
  4. Step 4: Simplify right side
    69,132x = 26,207,076,996
  5. Step 5: Solve for x
    x = 26,207,076,996/69,132
  6. Step 6: Final answer
    x = 379,087.50

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.