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Finding the Third Proportional to 92,132 and 146,892

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Solution

The third proportional to 92,132 and 146,892 is: 234,199.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,132 : 146,892 = 146,892 : x
  2. Step 2: Convert to fraction form
    92,132/146,892 = 146,892/x
  3. Step 3: Cross multiply
    92,132x = 146,892 × 146,892
  4. Step 4: Simplify right side
    92,132x = 21,577,259,664
  5. Step 5: Solve for x
    x = 21,577,259,664/92,132
  6. Step 6: Final answer
    x = 234,199.41

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.