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Finding the Third Proportional to 65,954 and 98,931

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Solution

The third proportional to 65,954 and 98,931 is: 148,396.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,954 : 98,931 = 98,931 : x
  2. Step 2: Convert to fraction form
    65,954/98,931 = 98,931/x
  3. Step 3: Cross multiply
    65,954x = 98,931 × 98,931
  4. Step 4: Simplify right side
    65,954x = 9,787,342,761
  5. Step 5: Solve for x
    x = 9,787,342,761/65,954
  6. Step 6: Final answer
    x = 148,396.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.