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Finding the Third Proportional to 96,046 and 140,954

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Solution

The third proportional to 96,046 and 140,954 is: 206,859.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,046 : 140,954 = 140,954 : x
  2. Step 2: Convert to fraction form
    96,046/140,954 = 140,954/x
  3. Step 3: Cross multiply
    96,046x = 140,954 × 140,954
  4. Step 4: Simplify right side
    96,046x = 19,868,030,116
  5. Step 5: Solve for x
    x = 19,868,030,116/96,046
  6. Step 6: Final answer
    x = 206,859.53

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.