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Finding the Third Proportional to 40,269 and 90,979

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Solution

The third proportional to 40,269 and 90,979 is: 205,547.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,269 : 90,979 = 90,979 : x
  2. Step 2: Convert to fraction form
    40,269/90,979 = 90,979/x
  3. Step 3: Cross multiply
    40,269x = 90,979 × 90,979
  4. Step 4: Simplify right side
    40,269x = 8,277,178,441
  5. Step 5: Solve for x
    x = 8,277,178,441/40,269
  6. Step 6: Final answer
    x = 205,547.16

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Why These Related Problems?

These problems maintain the same ratio (2.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.