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Finding the Third Proportional to 90,535 and 140,979

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Solution

The third proportional to 90,535 and 140,979 is: 219,529.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,535 : 140,979 = 140,979 : x
  2. Step 2: Convert to fraction form
    90,535/140,979 = 140,979/x
  3. Step 3: Cross multiply
    90,535x = 140,979 × 140,979
  4. Step 4: Simplify right side
    90,535x = 19,875,078,441
  5. Step 5: Solve for x
    x = 19,875,078,441/90,535
  6. Step 6: Final answer
    x = 219,529.23

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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.