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Finding the Third Proportional to 90,654 and 137,979

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Solution

The third proportional to 90,654 and 137,979 is: 210,009.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,654 : 137,979 = 137,979 : x
  2. Step 2: Convert to fraction form
    90,654/137,979 = 137,979/x
  3. Step 3: Cross multiply
    90,654x = 137,979 × 137,979
  4. Step 4: Simplify right side
    90,654x = 19,038,204,441
  5. Step 5: Solve for x
    x = 19,038,204,441/90,654
  6. Step 6: Final answer
    x = 210,009.54

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.