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Finding the Third Proportional to 92,412 and 146,898

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Solution

The third proportional to 92,412 and 146,898 is: 233,508.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,412 : 146,898 = 146,898 : x
  2. Step 2: Convert to fraction form
    92,412/146,898 = 146,898/x
  3. Step 3: Cross multiply
    92,412x = 146,898 × 146,898
  4. Step 4: Simplify right side
    92,412x = 21,579,022,404
  5. Step 5: Solve for x
    x = 21,579,022,404/92,412
  6. Step 6: Final answer
    x = 233,508.88

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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.