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Finding the Third Proportional to 92,160 and 146,992

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Solution

The third proportional to 92,160 and 146,992 is: 234,447.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,160 : 146,992 = 146,992 : x
  2. Step 2: Convert to fraction form
    92,160/146,992 = 146,992/x
  3. Step 3: Cross multiply
    92,160x = 146,992 × 146,992
  4. Step 4: Simplify right side
    92,160x = 21,606,648,064
  5. Step 5: Solve for x
    x = 21,606,648,064/92,160
  6. Step 6: Final answer
    x = 234,447.14

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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.