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Finding the Third Proportional to 65,556 and 98,954

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Solution

The third proportional to 65,556 and 98,954 is: 149,366.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,556 : 98,954 = 98,954 : x
  2. Step 2: Convert to fraction form
    65,556/98,954 = 98,954/x
  3. Step 3: Cross multiply
    65,556x = 98,954 × 98,954
  4. Step 4: Simplify right side
    65,556x = 9,791,894,116
  5. Step 5: Solve for x
    x = 9,791,894,116/65,556
  6. Step 6: Final answer
    x = 149,366.86

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.