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Finding the Third Proportional to 40,690 and 97,992

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Solution

The third proportional to 40,690 and 97,992 is: 235,989.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,690 : 97,992 = 97,992 : x
  2. Step 2: Convert to fraction form
    40,690/97,992 = 97,992/x
  3. Step 3: Cross multiply
    40,690x = 97,992 × 97,992
  4. Step 4: Simplify right side
    40,690x = 9,602,432,064
  5. Step 5: Solve for x
    x = 9,602,432,064/40,690
  6. Step 6: Final answer
    x = 235,989.97

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Why These Related Problems?

These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.